Name: Date: Geometry Solid Geometry. Name: Teacher: Pd:


 Dylan Chambers
 1 years ago
 Views:
Transcription
1 Name: Date: Geometry Solid Geometry Name: Teacher: Pd:
2 Table of Contents DAY 1: SWBAT: Calculate the Volume of Prisms and Cylinders Pgs: 17 HW: Pgs: 810 DAY 2: SWBAT: Calculate the Volume of Pyramids and Cones Pgs: HW: Pgs: DAY 3: SWBAT: Calculate the Surface Area of Rectangular Prisms and Cylinders Pgs: HW: Pgs: DAY 4: SWBAT: Calculate the Surface Area of Other Prisms Pgs: HW: Pgs: DAY 5: SWBAT: Calculate the Surface Area of Pyramids and Cones Pgs: HW: Pgs: DAY 6: SWBAT: Calculate the Volume and Surface Area of Spheres Pgs: HW: Pgs: Day 7: SWBAT: Calculate the Volume and Surface Area of Three Dimensional Figures (REVIEW) Pgs: Day 8: SWBAT: Calculate the Volume and Surface Area of Three Dimensional Figures (REVIEW) Pgs: Summary Page Pg: 52 Extra Credit Pg: 53
3 These formulas are given to you These aren t given to you but are very useful! Lateral Area for Prism L = (Perimeter of the base) (Height of the prism) Or L = Ph Surface Area for Prisms and Cylinders S.A. = L + 2B Lateral Area for Pyramids L = (Perimeter of the base) (Slant Height) Or L = Pl Surface Area for Pyramids S.A. = L + B
4 SWBAT: Calculate the volume of prisms and cylinders Volume of rectangular solids and cylinders Day 1 Warm Up: Read this section and Complete the puzzle on page 2. Threedimensional figures, or solids, can be made up of flat or curved surfaces. Each flat surface is called a face. An edge is the segment that is the intersection of two faces. A vertex is the point that is the intersection of three or more faces. Each face of a solid figure is called either a base or a lateral face. Solid figures generally have one or two bases. If it has two, these bases are parallel. If a figure has two parallel bases and lateral faces, such as in a prism, the bases will be perpendicular to the lateral faces. A polyhedron is formed by four or more polygons that intersect only at their edges. Prisms and pyramids are polyhedrons, but cylinders and cones are not. 1
5 Co 2
6 2. Shape Name Formula Example 25 ft
7 Shape Name Formula Example
8 Calculate the volume of each cylinder. Write your answers in terms of and to the nearest tenth Working Backwards A cube has a volume of 3375 cubic units. Calculate the length of one side of the cube. 5
9 14. The volume of a cylinder is 441 in 3. The height of the cylinder is 9 in. Calculate the radius of the cylinder to the nearest tenth of a centimeter. 15. The volume of a cylinder is cm 3. The height of the cylinder is 7 cm. Calculate the radius of the cylinder to the nearest tenth of a centimeter. Challenge 6
10 Summary: Exit Ticket: 7
11 Calculate the volume of each. Homework  Volume of Prisms and cylinders Day Round your answers to the nearest tenth. 8
12 7. Round your answers to the nearest hundredth. 8. Leave your answer in terms of. Word Problems 9. The volume of a cube is 216 cubic yards. Find the side length. 10. Julia has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an unknown height. He needs to build another rectangular prism with a length of 5 centimeters and the same height as the original prism. The volume of the two prisms will be the same. Find the width, in centimeters, of the new prism
13 A right circular cylinder has a volume of 2,000 cubic inches and a height of 4 inches. What is the radius of the cylinder to the nearest tenth of an inch?
14 SWBAT: Calculate the Volume of Pyramids and Cones Warm  Up Calculate the volume of the prism below. a) If the dimensions are doubled. b) If the dimensions are divided by 5. Volume of a Pyramids and Cones 11
15 l Shape Name Formula Example
16
17 Word  Problems 9. The Volume of a square pyramid is 507 meter cubed. If the height is 9 meters, then find the dimensions of the base? 10. A cube with sides 5 inches, and a pyramid with base edges 5 inches. What is the height, so that the volume of the cube and the pyramid are equal? 11. A right cone has a height of 6 feet and a volume of 32 cubic feet. What is its radius? 12. Sand is piled in the shape of a cone. If a pile of sand has a diameter of 20 feet and a volume of 610 feet cubed, then what is the height of the pile? 14
18 Challenge Calculate the volume of the composite figure. Summary Calculate the volume of each shape. a. b. Exit Ticket 15
19 Calculate the volume of each. Homework  Volume of Pyramids and Cones Day ***
20 Word Problems 9. The volume of a square pyramid is 605. Calculate the dimensions of the base of the square if the pyramid has a height of 15m. 10. The Volume of square pyramid is 784. If the base edge is 14 centimeters, then how tall is the pyramid? 11. A cone has a volume of 432 and a height of 9 cm. a) Calculate the radius of the cone b) Calculate the slant height of the cone. 12. If the volume of a cone is 10 what is its height if the area of the base is 10 m 2? 17
21 Warm Up Surface area of rectangular prisms and cylinders Day 3 Rectangular Prism SA=2lh + 2hw + 2lw This formula assumes a "closed box", with all 6 sides 18
22 Example 1: Calculate the surface area of the prism below. Example 2: Rashid needs to buy some wood to build a box. He must calculate the surface area of the box to determine how much wood to buy. A diagram of the box is shown below. How much wood does Rashid need to buy to build the box? Example 3: The surface area of the prism below is 102 cm 2. Find x 19
23 Example 4: Calculate the surface area of a cube with a side that measures 5 in. Example 5: The surface area of a cube is 24 cm 2. Find the length of each side of the cube. 20
24 Surface Area of a Cylinder = Example 6: Find the surface area, to the nearest tenth of a square foot. 21
25 7. Calculate the surface area, to the nearest tenth of a square foot. 8. A cylinder has a surface area of 200 ft 2. a) Calculate the radius of the cylinder if the height is 15 feet. b) Calculate the Lateral Area of the cylinder
26 Challenge Problem: What is the surface area of the composite figure below? Summary: Exit Ticket 23
27 Homework  Surface area of rectangular prisms and cylinders Day 3 1. Find the surface area, to the nearest tenth of a square foot, of this container assuming it has a closed top and bottom. 2. Find the surface area of the prism below. 11cm 6 cm 3cm 3. Find the surface area of the cylinder below. 4. Calculate the surface area of a cube with a side of 6 inches. 24
28 5. Solve for x given the surface area. 6. A cube has a surface area of 486 cm 2. Calculate the length of one side of the cube. 7. The surface area of a cylinder is 48 square feet. The radius of the cylinder is 3 feet. What is the height of the cylinder? 8. Solve for z given the surface area. 25
29 Surface area of Other prisms Day 4 Warm Up Calculate the surface area of the cube below. 10 inches Describe the effect of each change on the surface of the given figure. a) If the dimensions are doubled. b) If the dimensions are divided by 5. 26
30 Shape Procedure for Calculating Surface Area 1. Name 2. Name 3. Name 27
31 4. Name 5. Name 6. Name 28
32 Word Problems
33 Challenge A builder drills a hole through a cube of concrete, as shown in the figure. This cube will be an outlet for a water tap on the side of a house. Find the surface area of the figure. Exit Ticket Calculate the surface area of the triangular prism to the nearest hundredth. 30
34 Homework Day 4 Calculate the Lateral and Surface area of each. Show your work here!
35 Word Problems 5. The lateral area for a hexagonal prism measures 432 inches 2. Calculate the surface area of the prism if the height of the prism measures 9 inches. 6. The lateral area for a regular triangular prism measures 462 inches 2. Calculate the surface area of the prism if the height of the prism measures 11 inches. 7. The surface area for a right triangular prism measures 864 cm 2. The legs of the triangle measure 12 and 16 cm respectively. Calculate the height and Lateral Area of the prism. (Draw a picture to help you!) 32
36 Surface Area of Pyramids and Cones Day 5 Warm Up Pyramids l 33
37 Example 1: Find the L.A. and S.A. Example 2: Example 3: **Challenge*** 34
38 Example 4: Cones 35
39 Example 5: Calculate the lateral area and surface area. Example 6: Calculate the lateral area and surface area. Word Problems 7. Find the surface area of a regular square pyramid with slant height 7 in, if its lateral area is 70 sq. in. 8. Find the slant height of a regular hexagonal pyramid with base edge length 6 cm, and lateral area 198 cm 2 36
40 9. A cone has a lateral area of 72 and a total surface area of 121. Find its radius. 10. A cone has a lateral area of 34 and a total surface area of 203. Find its radius. Challenge Summary Exit Ticket 37
41 Day 5  Homework Find the Lateral Area and Surface Area of each Prism, Pyramid, and Cone
42 Word Problems Find the slant height of a regular square pyramid with base edge length 4 cm, if its lateral area is 72 cm
43 Day 6 Spheres Warm Up 40
44 Find the surface area of each sphere. Leave your answers in terms of Example 3: Find the surface area of a sphere with a great circle that has an area of 49 mi 2. Example 4: Find the radius of a sphere with a surface area of 1024 u 2. 41
45 Example 5: Find the volume of the sphere. Give your answer in terms of. Example 6: Find the radius of a sphere with volume 7776 ft 3. Example 7: Find the volume of the sphere if the surface area is represented by 196. Leave your answer in terms of. 42
46 Challenge SUMMARY Exit Ticket If the surface area of a sphere is represented by 900, What is the volume in terms of? 1) 300 2) ) )
47 Day 6 Homework Calculate the Surface Area of each. Leave your answers in terms of The circumference of a great circle of a sphere is 8 meters. What is the surface area of the sphere? 6. The area of a great circle of a sphere is 36 meters. What is the surface area of the sphere? 44
48 Calculate the Volume of each. Round your answers to 2 decimal places Calculate the surface area of a sphere given a volume of 26,244 cubic meters. 12. Calculate the volume of a sphere given a surface area of 100 square meters. Round your answer to the nearest tenth. 45
49 Day 7 Review 3D Shape Lateral Area Surface Area Volume cm 6cm 4. 46
50 5. 3D Shape Lateral Area Surface Area Volume
51 Day 8 Word Problems 1. A cube has a volume of 729 cubic units. Calculate the length of one side of the cube. Ans: s = 9 units 2. The volume of a cylinder is 600 in 3. The height of the cylinder is 6 in. Calculate the radius of the cylinder to the nearest tenth of a centimeter. Ans: r = 10 in 3. The volume of a cylinder is in 3. The height of the cylinder is 3 in. Calculate the radius of the cylinder to the nearest tenth of a centimeter. 4. Ans: r 24 in 5. Ans: h 6 in Ans: length = 12.5 in 48
52 6. Explain your answer below. Ans: C (2) 3 = 8 7. Ans: A (3) 3 =
53 8. The base of a pyramid is a rectangle with a width of 8 cm and a length of 9 cm. Find, in centimeters, the height of the pyramid if the volume is 264 cm 3. Ans: h = 11 cm 9. The volume of a sphere is in 3. Calculate the radius of the sphere and the surface area of the sphere. 10. Ans: r = 21 in Ans: LA squ 11. Ans: V cu 50
54 12. A cone has a volume of 432 cm 3 and height of 9cm. Calculate the surface area of the cone. 13. Ans: SA cm 2 Ans: LA cm Ans: r = 6 Explain Your Answer! Ans: C 196 (2) 2 =
55 SUMMARY 52
56 Name Teacher Class/Period Due: Extra Credit 53
Name: Date: Geometry Honors Solid Geometry. Name: Teacher: Pd:
Name: Date: Geometry Honors 20132014 Solid Geometry Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the Volume of Prisms and Cylinders Pgs: 16 HW: Pgs: 710 DAY 2: SWBAT: Calculate the Volume
More information104 Surface Area of Prisms and Cylinders
: Finding Lateral Areas and Surface Areas of Prisms 2. Find the lateral area and surface area of the right rectangular prism. : Finding Lateral Areas and Surface Areas of Right Cylinders 3. Find the lateral
More informationIn Problems #1  #4, find the surface area and volume of each prism.
Geometry Unit Seven: Surface Area & Volume, Practice In Problems #1  #4, find the surface area and volume of each prism. 1. CUBE. RECTANGULAR PRISM 9 cm 5 mm 11 mm mm 9 cm 9 cm. TRIANGULAR PRISM 4. TRIANGULAR
More informationSurface Area of Rectangular & Right Prisms Surface Area of Pyramids. Geometry
Surface Area of Rectangular & Right Prisms Surface Area of Pyramids Geometry Finding the surface area of a prism A prism is a rectangular solid with two congruent faces, called bases, that lie in parallel
More informationSolids. Objective A: Volume of a Solids
Solids Math00 Objective A: Volume of a Solids Geometric solids are figures in space. Five common geometric solids are the rectangular solid, the sphere, the cylinder, the cone and the pyramid. A rectangular
More informationArea of Parallelograms (pages 546 549)
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
More informationArea of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in
More informationSA B 1 p where is the slant height of the pyramid. V 1 3 Bh. 3D Solids Pyramids and Cones. Surface Area and Volume of a Pyramid
Accelerated AAG 3D Solids Pyramids and Cones Name & Date Surface Area and Volume of a Pyramid The surface area of a regular pyramid is given by the formula SA B 1 p where is the slant height of the pyramid.
More information10.4 Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres. 10.4 Day 1 Warmup
10.4 Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres 10.4 Day 1 Warmup 1. Which identifies the figure? A rectangular pyramid B rectangular prism C cube D square pyramid 3. A polyhedron
More informationFinding Volume of Rectangular Prisms
MA.FL.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of threedimensional composite shapes.
More informationArea of Parallelograms, Triangles, and Trapezoids (pages 314 318)
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
More informationPerimeter, Area, and Volume
Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all
More informationArea of a triangle: The area of a triangle can be found with the following formula: You can see why this works with the following diagrams:
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 You can see why this works with the following diagrams: h h b b Solve: Find the area of
More informationGeometry Notes VOLUME AND SURFACE AREA
Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate
More informationVOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.
Math 6 NOTES 7.5 Name VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region. **The formula for the volume of a rectangular prism is:** l = length w = width h = height Study Tip:
More informationSURFACE AREA AND VOLUME
SURFACE AREA AND VOLUME In this unit, we will learn to find the surface area and volume of the following threedimensional solids:. Prisms. Pyramids 3. Cylinders 4. Cones It is assumed that the reader has
More informationHeight. Right Prism. Dates, assignments, and quizzes subject to change without advance notice.
Name: Period GL UNIT 11: SOLIDS I can define, identify and illustrate the following terms: Face Isometric View Net Edge Polyhedron Volume Vertex Cylinder Hemisphere Cone Cross section Height Pyramid Prism
More informationTeacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.
Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 91.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles
More information2nd Semester Geometry Final Exam Review
Class: Date: 2nd Semester Geometry Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The owner of an amusement park created a circular
More informationGeometry Notes PERIMETER AND AREA
Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter
More informationIntegrated Algebra: Geometry
Integrated Algebra: Geometry Topics of Study: o Perimeter and Circumference o Area Shaded Area Composite Area o Volume o Surface Area o Relative Error Links to Useful Websites & Videos: o Perimeter and
More informationGrade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area. Determine the area of various shapes Circumference
1 P a g e Grade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area Lesson Topic I Can 1 Area, Perimeter, and Determine the area of various shapes Circumference Determine the perimeter of various
More informationMAT104: Fundamentals of Mathematics II Summary of Section 145: Volume, Temperature, and Dimensional Analysis with Area & Volume.
MAT104: Fundamentals of Mathematics II Summary of Section 145: Volume, Temperature, and Dimensional Analysis with Area & Volume For prisms, pyramids, cylinders, and cones: Volume is the area of one base
More informationRight Prisms Let s find the surface area of the right prism given in Figure 44.1. Figure 44.1
44 Surface Area The surface area of a space figure is the total area of all the faces of the figure. In this section, we discuss the surface areas of some of the space figures introduced in Section 41.
More informationPizza! Pizza! Assessment
Pizza! Pizza! Assessment 1. A local pizza restaurant sends pizzas to the high school twelve to a carton. If the pizzas are one inch thick, what is the volume of the cylindrical shipping carton for the
More informationS.A. = L.A. + 2B = ph + 2B
Page 1 of 5 View Tutorial 5c Objective: Find the lateral area, total surface area, and volume of rectangular prisms. A prism is a polyhedron with two congruent & parallel bases. The other faces are the
More informationCONNECT: Volume, Surface Area
CONNECT: Volume, Surface Area 1. VOLUMES OF SOLIDS A solid is a threedimensional (3D) object, that is, it has length, width and height. One of these dimensions is sometimes called thickness or depth.
More informationPerimeter, Area, and Volume
Perimeter is a measurement of length. It is the distance around something. We use perimeter when building a fence around a yard or any place that needs to be enclosed. In that case, we would measure the
More informationPractice: Space Figures and Cross Sections Geometry 111
Practice: Space Figures and Cross Sections Geometry 111 Name: Date: Period: Polyhedron * 3D figure whose surfaces are * each polygon is a. * an is a segment where two faces intersect. * a is a point where
More informationB = 1 14 12 = 84 in2. Since h = 20 in then the total volume is. V = 84 20 = 1680 in 3
45 Volume Surface area measures the area of the twodimensional boundary of a threedimensional figure; it is the area of the outside surface of a solid. Volume, on the other hand, is a measure of the space
More informationArea is a measure of how much space is occupied by a figure. 1cm 1cm
Area Area is a measure of how much space is occupied by a figure. Area is measured in square units. For example, one square centimeter (cm ) is 1cm wide and 1cm tall. 1cm 1cm A figure s area is the number
More informationCalculating the surface area of a threedimensional object is similar to finding the area of a two dimensional object.
Calculating the surface area of a threedimensional object is similar to finding the area of a two dimensional object. Surface area is the sum of areas of all the faces or sides of a threedimensional
More informationShow that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.
Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional
More informationCharacteristics of the Four Main Geometrical Figures
Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.
More informationPlatonic Solids. Some solids have curved surfaces or a mix of curved and flat surfaces (so they aren't polyhedra). Examples:
Solid Geometry Solid Geometry is the geometry of threedimensional space, the kind of space we live in. Three Dimensions It is called threedimensional or 3D because there are three dimensions: width,
More information1. A plane passes through the apex (top point) of a cone and then through its base. What geometric figure will be formed from this intersection?
Student Name: Teacher: Date: District: Description: MiamiDade County Public Schools Geometry Topic 7: 3Dimensional Shapes 1. A plane passes through the apex (top point) of a cone and then through its
More informationGeometry Honors: Extending 2 Dimensions into 3 Dimensions. Unit Overview. Student Focus. Semester 2, Unit 5: Activity 30. Resources: Online Resources:
Geometry Honors: Extending 2 Dimensions into 3 Dimensions Semester 2, Unit 5: Activity 30 Resources: SpringBoard Geometry Online Resources: Geometry Springboard Text Unit Overview In this unit students
More informationSurface Area of Prisms
Surface Area of Prisms Find the Surface Area for each prism. Show all of your work. Surface Area: The sum of the areas of all the surface (faces) if the threedimensional figure. Rectangular Prism: A prism
More information124 Volumes of Prisms and Cylinders. Find the volume of each prism. The volume V of a prism is V = Bh, where B is the area of a base and h
Find the volume of each prism. The volume V of a prism is V = Bh, where B is the area of a base and h The volume is 108 cm 3. The volume V of a prism is V = Bh, where B is the area of a base and h the
More information88 Volume and Surface Area of Composite Figures. Find the volume of the composite figure. Round to the nearest tenth if necessary.
Find the volume of the composite figure. Round to the nearest tenth if necessary. The figure is made up of a triangular prism and a rectangular prism. Volume of triangular prism The figure is made up of
More informationCHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder.
TEST A CHAPTER 8, GEOMETRY 1. A rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has
More informationScaling ThreeDimensional Figures
exploration Scaling ThreeDimensional Figures A rectangular box can be scaled up by increasing one of its three dimensions. To increase one dimension of the box, multiply the dimension by a scale factor.
More informationGAP CLOSING. Volume and Surface Area. Intermediate / Senior Student Book
GAP CLOSING Volume and Surface Area Intermediate / Senior Student Book Volume and Surface Area Diagnostic...3 Volumes of Prisms...6 Volumes of Cylinders...13 Surface Areas of Prisms and Cylinders...18
More informationMENSURATION. Definition
MENSURATION Definition 1. Mensuration : It is a branch of mathematics which deals with the lengths of lines, areas of surfaces and volumes of solids. 2. Plane Mensuration : It deals with the sides, perimeters
More information122 Surface Areas of Prisms and Cylinders. 1. Find the lateral area of the prism. SOLUTION: ANSWER: in 2
1. Find the lateral area of the prism. 3. The base of the prism is a right triangle with the legs 8 ft and 6 ft long. Use the Pythagorean Theorem to find the length of the hypotenuse of the base. 112.5
More informationYOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!
DETAILED SOLUTIONS AND CONCEPTS  SIMPLE GEOMETRIC FIGURES Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST
More informationWEIGHTS AND MEASURES. Linear Measure. 1 Foot12 inches. 1 Yard 3 feet  36 inches. 1 Rod 5 1/2 yards  16 1/2 feet
WEIGHTS AND MEASURES Linear Measure 1 Foot12 inches 1 Yard 3 feet  36 inches 1 Rod 5 1/2 yards  16 1/2 feet 1 Furlong 40 rods  220 yards  660 feet 1 Mile 8 furlongs  320 rods  1,760 yards 5,280 feet
More informationPerfume Packaging. Ch 5 1. Chapter 5: Solids and Nets. Chapter 5: Solids and Nets 279. The Charles A. Dana Center. Geometry Assessments Through
Perfume Packaging Gina would like to package her newest fragrance, Persuasive, in an eyecatching yet costefficient box. The Persuasive perfume bottle is in the shape of a regular hexagonal prism 10 centimeters
More information1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack?
Prisms and Cylinders Answer Key Vocabulary: cylinder, height (of a cylinder or prism), prism, volume Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is
More informationCONNECT: Volume, Surface Area
CONNECT: Volume, Surface Area 2. SURFACE AREAS OF SOLIDS If you need to know more about plane shapes, areas, perimeters, solids or volumes of solids, please refer to CONNECT: Areas, Perimeters 1. AREAS
More informationGeometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
More informationSandia High School Geometry Second Semester FINAL EXAM. Mark the letter to the single, correct (or most accurate) answer to each problem.
Sandia High School Geometry Second Semester FINL EXM Name: Mark the letter to the single, correct (or most accurate) answer to each problem.. What is the value of in the triangle on the right?.. 6. D.
More informationFCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST. Mathematics Reference Sheets. Copyright Statement for this Assessment and Evaluation Services Publication
FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST Mathematics Reference Sheets Copyright Statement for this Assessment and Evaluation Services Publication Authorization for reproduction of this document is hereby
More informationLet s find the volume of this cone. Again we can leave our answer in terms of pi or use 3.14 to approximate the answer.
8.5 Volume of Rounded Objects A basic definition of volume is how much space an object takes up. Since this is a threedimensional measurement, the unit is usually cubed. For example, we might talk about
More informationHonors Geometry Final Exam Study Guide
20112012 Honors Geometry Final Exam Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In each pair of triangles, parts are congruent as marked.
More informationLESSON SUMMARY. Measuring Shapes
LESSON SUMMARY CXC CSEC MATHEMATICS UNIT SIX: Measurement Lesson 11 Measuring Shapes Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1 (Some helpful exercises and page numbers are given
More informationEveryday Mathematics. Grade 3 GradeLevel Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade Level Goal
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More informationFilling and Wrapping: Homework Examples from ACE
Filling and Wrapping: Homework Examples from ACE Investigation 1: Building Smart Boxes: Rectangular Prisms, ACE #3 Investigation 2: Polygonal Prisms, ACE #12 Investigation 3: Area and Circumference of
More informationVolume of Spheres. A geometric plane passing through the center of a sphere divides it into. into the Northern Hemisphere and the Southern Hemisphere.
Page 1 of 7 9.6 Surface Area and Volume of Spheres Goal Find surface areas and volumes of spheres. Key Words sphere hemisphere A globe is an example of a sphere. A sphere is the set of all points in space
More informationACTIVITY: Finding a Formula Experimentally. Work with a partner. Use a paper cup that is shaped like a cone.
8. Volumes of Cones How can you find the volume of a cone? You already know how the volume of a pyramid relates to the volume of a prism. In this activity, you will discover how the volume of a cone relates
More informationLesson 17 ~ Volume of Prisms
Lesson 17 ~ Volume of Prisms 1. An octagonal swimming pool has a base area of 42 square meters. The pool is 3 feet deep. Find the volume of the pool. 2. A fish aquarium is a rectangular prism. It is 18
More informationChapter 4: Area, Perimeter, and Volume. Geometry Assessments
Chapter 4: Area, Perimeter, and Volume Geometry Assessments Area, Perimeter, and Volume Introduction The performance tasks in this chapter focus on applying the properties of triangles and polygons to
More informationPrecision and Measurement
NAME DATE PERIOD Precision and Measurement The precision or exactness of a measurement depends on the unit of measure. The precision unit is the smallest unit on a measuring tool. Significant digits include
More informationThe Area is the width times the height: Area = w h
Geometry Handout Rectangle and Square Area of a Rectangle and Square (square has all sides equal) The Area is the width times the height: Area = w h Example: A rectangle is 6 m wide and 3 m high; what
More informationUnit 1 Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
Unit 1 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Convert 8 yd. to inches. a. 24 in. b. 288 in. c. 44 in. d. 96 in. 2. Convert 114 in. to yards,
More informationGeometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More information121 Representations of ThreeDimensional Figures
Connect the dots on the isometric dot paper to represent the edges of the solid. Shade the tops of 121 Representations of ThreeDimensional Figures Use isometric dot paper to sketch each prism. 1. triangular
More informationAngle  a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees
Angle  a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in
More informationFSA Geometry EndofCourse Review Packet. Modeling and Geometry
FSA Geometry EndofCourse Review Packet Modeling and Geometry MAFS.912.GMG.1.1 EOC Practice Level 2 Level 3 Level 4 Level 5 uses measures and properties to model and describe a realworld object that
More informationSOLID SHAPES M.K. HOME TUITION. Mathematics Revision Guides Level: GCSE Higher Tier
Mathematics Revision Guides Solid Shapes Page 1 of 19 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Higher Tier SOLID SHAPES Version: 2.1 Date: 10112015 Mathematics Revision Guides Solid
More informationReview for Final  Geometry B
Review for Final  Geometry B Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A model is made of a car. The car is 4 meters long and the model is 7 centimeters
More informationChapter 8 Geometry We will discuss following concepts in this chapter.
Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles
More information1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 5280 feet (ft) Replace 1 with 1 ft/12 in. 1ft
2 MODULE 6. GEOMETRY AND UNIT CONVERSION 6a Applications The most common units of length in the American system are inch, foot, yard, and mile. Converting from one unit of length to another is a requisite
More information12 Surface Area and Volume
12 Surface Area and Volume 12.1 ThreeDimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids
More informationActivity Set 4. Trainer Guide
Geometry and Measurement of Solid Figures Activity Set 4 Trainer Guide Mid_SGe_04_TG Copyright by the McGrawHill Companies McGrawHill Professional Development GEOMETRY AND MEASUREMENT OF SOLID FIGURES
More informationModule: Mathematical Reasoning
Module: Mathematical Reasoning Lesson Title: Using Nets for Finding Surface Area Objectives and Standards Students will: Draw and construct nets for 3D objects. Determine the surface area of rectangular
More informationArea LongTerm Memory Review Review 1
Review 1 1. To find the perimeter of any shape you all sides of the shape.. To find the area of a square, you the length and width. 4. What best identifies the following shape. Find the area and perimeter
More informationChapter 8. Chapter 8 Opener. Section 8.1. Big Ideas Math Green WorkedOut Solutions. Try It Yourself (p. 353) Number of cubes: 7
Chapter 8 Opener Try It Yourself (p. 5). The figure is a square.. The figure is a rectangle.. The figure is a trapezoid. g. Number cubes: 7. a. Sample answer: 4. There are 5 6 0 unit cubes in each layer.
More informationGrade 7/8 Math Circles Winter D Geometry
1 University of Waterloo Faculty of Mathematics Grade 7/8 Math Circles Winter 2013 3D Geometry Introductory Problem Mary s mom bought a box of 60 cookies for Mary to bring to school. Mary decides to bring
More informationArea, Perimeter, Volume and Pythagorean Theorem Assessment
Area, Perimeter, Volume and Pythagorean Theorem Assessment Name: 1. Find the perimeter of a right triangle with legs measuring 10 inches and 24 inches a. 34 inches b. 60 inches c. 120 inches d. 240 inches
More informationGeometry Unit 6 Areas and Perimeters
Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose
More informationAlgebra Geometry Glossary. 90 angle
lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:
More informationPerformance Based Learning and Assessment Task Confetti Task
Performance Based Learning and Assessment Task Confetti Task I. ASSESSMENT TASK OVERVIEW & PURPOSE: In this task, Geometry students will investigate how surface area and volume is used to estimate the
More information12 Surface Area and Volume
CHAPTER 12 Surface Area and Volume Chapter Outline 12.1 EXPLORING SOLIDS 12.2 SURFACE AREA OF PRISMS AND CYLINDERS 12.3 SURFACE AREA OF PYRAMIDS AND CONES 12.4 VOLUME OF PRISMS AND CYLINDERS 12.5 VOLUME
More information3D shapes. Level A. 1. Which of the following is a 3D shape? A) Cylinder B) Octagon C) Kite. 2. What is another name for 3D shapes?
Level A 1. Which of the following is a 3D shape? A) Cylinder B) Octagon C) Kite 2. What is another name for 3D shapes? A) Polygon B) Polyhedron C) Point 3. A 3D shape has four sides and a triangular
More informationTallahassee Community College PERIMETER
Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides
More informationFormulas for Area Area of Trapezoid
Area of Triangle Formulas for Area Area of Trapezoid Area of Parallelograms Use the formula sheet and what you know about area to solve the following problems. Find the area. 5 feet 6 feet 4 feet 8.5 feet
More informationThe GED math test gives you a page of math formulas that
Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding
More informationCalculating Area, Perimeter and Volume
Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly
More informationMATH 113 Section 10.3: Surface Area and Volume
MATH 113 Section 10.3: Surface Area and Volume Prof. Jonathan Duncan Walla Walla College Winter Quarter, 2007 Outline 1 Surface Area 2 Volume 3 Conclusion Measuring Three Dimensional Shapes In the last
More informationb = base h = height Area is the number of square units that make up the inside of the shape is a square with a side length of 1 of any unit
Area is the number of square units that make up the inside of the shape of 1 of any unit is a square with a side length Jan 297:58 AM b = base h = height Jan 298:31 AM 1 Example 6 in Jan 298:33 AM A
More informationName Date Class. Lateral and Surface Area of a Right Prism. The lateral area of a right prism with base perimeter P and height h is L = Ph.
Name Date Class LESSON 104 Reteach Surface Area of Prisms and Cylinders The lateral area of a prism is the sum of the areas of all the lateral faces. A lateral face is not a base. The surface area is
More informationof surface, 569571, 576577, 578581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
More informationAreas of Rectangles and Parallelograms
CONDENSED LESSON 8.1 Areas of Rectangles and Parallelograms In this lesson you will Review the formula for the area of a rectangle Use the area formula for rectangles to find areas of other shapes Discover
More informationSurface Area of Prisms
Surface Area of Prisms Jen Kershaw Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content,
More informationUnit 3 Practice Test. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: lass: ate: I: Unit 3 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. The radius, diameter, or circumference of a circle is given. Find
More informationME 111: Engineering Drawing
ME 111: Engineering Drawing Lecture # 14 (10/10/2011) Development of Surfaces http://www.iitg.ernet.in/arindam.dey/me111.htm http://www.iitg.ernet.in/rkbc/me111.htm http://shilloi.iitg.ernet.in/~psr/ Indian
More informationFundamentals of Geometry
10A Page 1 10 A Fundamentals of Geometry 1. The perimeter of an object in a plane is the length of its boundary. A circle s perimeter is called its circumference. 2. The area of an object is the amount
More informationUnit 04: Fundamentals of Solid Geometry  Shapes and Volumes
Unit 04: Fundamentals of Solid Geometry  Shapes and Volumes Introduction. Skills you will learn: a. Classify simple 3dimensional geometrical figures. b. Calculate surface areas of simple 3dimensional
More informationDemystifying Surface Area and Volume Teachers Edition
Demystifying Surface and Volume Teachers Edition These constructions and worksheets can be done in pairs, small groups or individually. Also, may use as guided notes and done together with teacher. CYLINDER
More information