# Surface Area of Prisms

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 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 with a rectangular base. Formula: 2 lw + 2 lh + 2 wh Triangular Prism: A prism with a triangular base. Formula: Area of the base times 2 plus the area of each side. Write the formula. Find the measurements for the length, the width, and the height. Plug the measurements into the formula. Solve. Make sure to square the answer. 1

2 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 with a rectangular base. Formula: 2 lw + 2 lh + 2 wh Triangular Prism: A prism with a triangular base. Formula: Area of the base times 2 plus the area of each side. Write the formula. Find the measurements for the length, the width, and the height. Plug the measurements into the formula. Solve. Make sure to square the answer. 2

3 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 with a rectangular base. Formula: 2 lw + 2 lh + 2 wh Triangular Prism: A prism with a triangular base. Formula: Area of the base times 2 plus the area of each side. Write the formula. Find the measurements for the length, the width, and the height. Plug the measurements into the formula. Solve. Make sure to square the answer. 3

4 Surface Area of a Cylinder Find the surface area for each cylinder. Show all of your work. Round to the nearest tenth. Surface Area: The sum of the areas of all the surfaces (faces) of the threedimensional object. Cylinder: A three-dimensional object with circles forming the top and bottom bases. A cylinder is made of 2 circles and a rectangle (wraps around the object). Formula: S.A. = 2πr² + π d h Find the areas of the bases (circles) A = 2 πr² Remember there are two bases. Find the area of the rectangle (around). A = π d h Add the areas together to find the surface area. Remember to square your answer. 4

5 5

6 Surface Area of a Cylinder Find the surface area for each cylinder. Show all of your work. Round to the nearest tenth. Surface Area: The sum of the areas of all the surfaces (faces) of the threedimensional object. Cylinder: A three-dimensional object with circles forming the top and bottom bases. A cylinder is made of 2 circles and a rectangle (wraps around the object). Formula: S.A. = 2πr² + π d h Find the areas of the bases (circles) A = 2 πr² Remember there are two bases. Find the area of the rectangle (around). A = π d h Add the areas together to find the surface area. Remember to square your answer. 6

7 Surface Area of a Cylinder Find the surface area for each cylinder. Show all of your work. Round to the nearest tenth. Surface Area: The sum of the areas of all the surfaces (faces) of the threedimensional object. Cylinder: A three-dimensional object with circles forming the top and bottom bases. A cylinder is made of 2 circles and a rectangle (wraps around the object). Formula: S.A. = 2πr² + π d h Find the areas of the bases (circles) A = 2 πr² Remember there are two bases. Find the area of the rectangle (around). A = π d h Add the areas together to find the surface area. Remember to square your answer. 7

### Calculating the surface area of a three-dimensional object is similar to finding the area of a two dimensional object.

Calculating the surface area of a three-dimensional 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 three-dimensional

### Solids. 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

### VOLUME 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:

### Module: Mathematical Reasoning

Module: Mathematical Reasoning Lesson Title: Using Nets for Finding Surface Area Objectives and Standards Students will: Draw and construct nets for 3-D objects. Determine the surface area of rectangular

### Area 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

### 8-8 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

### CONNECT: 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

### CONNECT: Volume, Surface Area

CONNECT: Volume, Surface Area 1. VOLUMES OF SOLIDS A solid is a three-dimensional (3D) object, that is, it has length, width and height. One of these dimensions is sometimes called thickness or depth.

### 10-4 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

### Area 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

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

Name: Date: Geometry 2012-2013 Solid Geometry Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the Volume of Prisms and Cylinders Pgs: 1-7 HW: Pgs: 8-10 DAY 2: SWBAT: Calculate the Volume of

### Geometry 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

### Topic 9: Surface Area

Topic 9: Surface Area for use after Covering and Surrounding (Investigation 5) Jillian is wrapping a box of model cars for her brother s birthday. Jillian needs to measure the box to see if she has enough

### 28. [Area / Volume] cm 2. in = =

8. [ / Volume] Skill 8. Calculating the area of polygons by counting squares and triangles on a square grid (). Count the number of fully shaded squares on the grid. If necessary add on the number of half

### Week #15 - Word Problems & Differential Equations Section 8.1

Week #15 - Word Problems & Differential Equations Section 8.1 From Calculus, Single Variable by Hughes-Hallett, Gleason, McCallum et. al. Copyright 25 by John Wiley & Sons, Inc. This material is used by

### Grade 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

### Area 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

### Let 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 three-dimensional measurement, the unit is usually cubed. For example, we might talk about

### Geo - CH10 Practice Test

Geo - H10 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. lassify the figure. Name the vertices, edges, and base. a. triangular pyramid vertices:,,,,

### GAP 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

### Finding 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 three-dimensional composite shapes.

### Precision 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

### Surface 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,

### YOU 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

### Forming Equivalent Equations. Chapter 2 Linear Equation and Inequalities. The Golden Rule (of Algebra) Examples. The Golden Rule and Multiplication

Forming Equivalent Equations Chapter 2 Linear Equation and Inequalities Michael Giessing giessing@math.utah.edu An equation can be rewriten into an equivalent form by: 1. Simplify either side 2. Using

### In 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

### Grade 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

### 1. 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

### 1 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

### Show 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

### Perimeter, 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

### Prisms and Cylinders 3.1. In Investigation 2, you found the volume of rectangular prisms by filling. Filling Fancy Boxes

! s and Cylinders In Investigation 2, you found the volume of rectangular prisms by filling the prism with cubes. The number of cubes in the bottom layer is the same as the area of the rectangular base

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

### Chapter 1 Measurement

Chapter 1 Measurement Math 1201 1 Chapter 1 Measurement Sections 1.1-1.3: Goals: Converting between imperial units by unit analysis Converting between SI units Converting between SI and imperial units

### The 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

### Surface Area Quick Review: CH 5

I hope you had an exceptional Christmas Break.. Now it's time to learn some more math!! :) Surface Area Quick Review: CH 5 Find the surface area of each of these shapes: 8 cm 12 cm 4cm 11 cm 7 cm Find

### SA 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.

### Junior Math Circles March 10, D Geometry II

1 University of Waterloo Faculty of Mathematics Junior Math Circles March 10, 2010 3D Geometry II Centre for Education in Mathematics and Computing Opening Problem Three tennis ball are packed in a cylinder.

### Basic Math for the Small Public Water Systems Operator

Basic Math for the Small Public Water Systems Operator Small Public Water Systems Technology Assistance Center Penn State Harrisburg Introduction Area In this module we will learn how to calculate the

### Area 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

### 11-1. Space Figures and Cross Sections. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary

11-1 Space Figures and Cross Sections Vocabulary Review Complete each statement with the correct word from the list. edge edges vertex vertices 1. A(n) 9 is a segment that is formed by the intersections

### Lesson 7: Using Formulas

Lesson 7: Using Formulas Steps for Solving Problems Using a Formula 1. 2. 3. 4. Example 1 Using the formula: Density = mass/volume or D = m/v Find the density of a rock that has a volume of 20 ml with

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

Name: Date: Geometry Honors 2013-2014 Solid Geometry Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the Volume of Prisms and Cylinders Pgs: 1-6 HW: Pgs: 7-10 DAY 2: SWBAT: Calculate the Volume

### 1.2. Volume. 18 MHR Chapter 1. sphere cylinder rectangular prism triangular prism

1.2 Volume When designing a building, it is important for the architect to measure carefully so that the structure functions properly and is pleasing to the eye. Look at the buildings in the photograph.

### Integrated 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

### Fundamentals 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

### Surface Area and Volume

UNIT 7 Surface Area and Volume Managers of companies that produce food products must decide how to package their goods, which is not as simple as you might think. Many factors play into the decision of

### Platonic 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 three-dimensional space, the kind of space we live in. Three Dimensions It is called three-dimensional or 3D because there are three dimensions: width,

### 9) 10) 11) 12) 13) 14) 15) 16) 17) -2-

-2-9) 10) 11) 12) 13) 14) 15) 16) 17) -3-18) 19) 20) 21) 22) 23) 24) 25) -4-26) 27) 28) 29) 30) 31) 32) 33) -5-34) 35) 36) 37) 38) 39) 40) 41) -6-42) 43) 44) 45) 46) 47) 48) 49) -7-50) 51) 52) 53) 54)

### Right 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.

### 6.3. Surface Area of Solids The Gift Box. My Notes ACTIVITY

Surface Area of Solids SUGGESTED LEARNING STRATEGIES: Activating Prior Knowledge J.T. is the creative director for a paper products company. The company is introducing a new line of gift boxes, called

### Name: Class: Date: Geometry Chapter 3 Review

Name: Class: Date: ID: A Geometry Chapter 3 Review. 1. The area of a rectangular field is 6800 square meters. If the width of the field is 80 meters, what is the perimeter of the field? Draw a diagram

### Measurement of Regular Shapes

Measurement of Regular Shapes Workbook Junior Certificate School Programme Support Service Contents Chapter 1 Perimeter and Area of Squares Page 3 Chapter 2 Perimeter and Area of Rectangles Page 6 Chapter

### Geometry 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

### SURFACE 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

### 3Surface Area, Volume, and Capacity

124 Chapter 3Surface Area, Volume, and Capacity How much water do you think this water tank can hold? What would you need to know to calculate the exact amount? 3.1 Surface Area of Prisms REVIEW: WORKING

### Study Guide. 6.g.1 Find the area of triangles, quadrilaterals, and other polygons. Note: Figure is not drawn to scale.

Study Guide Name Test date 6.g.1 Find the area of triangles, quadrilaterals, and other polygons. 1. Note: Figure is not drawn to scale. If x = 14 units and h = 6 units, then what is the area of the triangle

### Perimeter, Circumference, Area and Ratio Long-Term Memory Review

Review 1 1. Which procedure is used to find the perimeter of any polygon? A) Add all the lengths B) Multiply length times width ( l w ) C) Add only one length and one width D) Multiply all of the lengths

### 17.2 Surface Area of Prisms and Cylinders

Name Class Date 17. Surface Area of Prisms and Cylinders Essential Question: How can you find the surface area of a prism or cylinder? Explore G.11.C Apply the formulas for the total and lateral surface

### This formula will give you the volume (in cubic feet) for any cylinder, such as a pipe: LENGTH DIAMETER

Volume Problems How much water a pipe (cylinder) can hold is dependent on how big the pipe is (cross-sectional area) and how long it is (length). The larger and/or the longer the pipe, the more water it

### The formula for the area of a parallelogram is: A = bh, where b is the length of the base and h is the length of the height.

The formula for the area of a parallelogram is: A = h, where is the length of the ase and h is the length of the height. The formula for the area of a parallelogram is: A = h, where is the length of the

### Grade 11 Essential Mathematics Unit 6: Measurement and Geometry

Grade 11 Essential Mathematics Unit 6: INTRODUCTION When people first began to take measurements, they would use parts of the hands and arms. For example, a digit was the width of a thumb. This kind of

### S.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

### 12-4 Volumes of Prisms and Cylinders. Find the volume of each prism.

Find the volume of each prism. 3. the oblique rectangular prism shown at the right 1. The volume V of a prism is V = Bh, where B is the area of a base and h is the height of the prism. If two solids have

### AREA. AREA is the amount of surface inside a flat shape. (flat means 2 dimensional)

AREA AREA is the amount of surface inside a flat shape. (flat means 2 dimensional) Area is always measured in units 2 The most basic questions that you will see will involve calculating the area of a square

### Name: School Team: X = 5 X = 25 X = 40 X = 0.09 X = 15

7th/8th grade Math Meet Name: School Team: Event : Problem Solving (no calculators) Part : Computation ( pts. each) ) / + /x + /0 = X = 5 ) 0% of 5 = x % of X = 5 ) 00 - x = ()()(4) + 6 X = 40 4) 0.6 x

### Name Date Period. 3D Geometry Project

Name 3D Geometry Project Part I: Exploring Three-Dimensional Shapes In the first part of this WebQuest, you will be exploring what three-dimensional (3D) objects are, how to classify them, and several

### Name 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 10-4 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

### FCAT 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

### Demystifying 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

### Chapter 1.3 and 1.4 Practice Quiz

Name: Class: _ Date: _ Chapter 1.3 and 1.4 Practice Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. 1. This composite object is made using centimetre

### Geometry Concepts. Figures that lie in a plane are called plane figures. These are all plane figures. Triangle 3

Geometry Concepts Figures that lie in a plane are called plane figures. These are all plane figures. Polygon No. of Sides Drawing Triangle 3 A polygon is a plane closed figure determined by three or more

### Area Long-Term 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

### Math. Rounding Decimals. Answers. 1) Round to the nearest tenth. 8.54 8.5. 2) Round to the nearest whole number. 99.59 100

1) Round to the nearest tenth. 8.54 8.5 2) Round to the nearest whole number. 99.59 100 3) Round to the nearest tenth. 310.286 310.3 4) Round to the nearest whole number. 6.4 6 5) Round to the nearest

### *1. Understand the concept of a constant number like pi. Know the formula for the circumference and area of a circle.

Students: 1. Students deepen their understanding of measurement of plane and solid shapes and use this understanding to solve problems. *1. Understand the concept of a constant number like pi. Know the

### 1) Find the circumference and area of a circle with diameter of 15.8 in? (7.GM.5)

7.GM Unit 4 Practice Test 1) Find the circumference and area of a circle with diameter of 15.8 in? (7.GM.5) 2) What are the characteristics of each type of angle of adjacent, complementary, supplementary

### Surface Area of Irregular Solids

CHAPTER 11 D Surface Area of Irregular Solids You will need a calculator c GOAL Calculate surface area and lateral area of figures created by combining right prisms, right pyramids, and right cylinders.

### Math 8 Area of a rectangle: The area of a rectangle can be found with the following formula:

Area Review Area of a rectangle: The area of a rectangle can be found with the following formula: A bh Area of a triangle: The area of a triangle can be found with the following formula: 1 A bh 2 h h b

### Grade 5 Work Sta on Perimeter, Area, Volume

Grade 5 Work Sta on Perimeter, Area, Volume #ThankATeacher #TeacherDay #TeacherApprecia onweek 6. 12. Folder tab label: RC 3 TEKS 5(4)(H) Perimeter, Area, and Volume Cover: Reporting Category 3 Geometry

### Surface Area. Assessment Management

Surface Area Objective To introduce finding the surface area of prisms, cylinders, and pyramids. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Unit 5 Geometry. Using imperial, metric and conversions when necessary. Maximum area for a given perimeter

Unit 5 Geometry BIG PICTURE MAP 4C Foundations for College Mathematics Students will: Understand the relationships between imperial and metric units Consolidate understanding of perimeter, area, surface

### 12-2 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

### CBA Volume: Student Sheet 1

CBA Volume: Student Sheet 1 For each problem, decide which cube building has more room inside, or if they have the same amount of room. Then find two ways to use cubes to check your answers, one way that

### What You ll Learn. Why It s Important

These students are setting up a tent. How do the students know how to set up the tent? How is the shape of the tent created? How could students find the amount of material needed to make the tent? Why

### Pizza! 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

### 3D Geometry: Chapter Questions

3D Geometry: Chapter Questions 1. What are the similarities and differences between prisms and pyramids? 2. How are polyhedrons named? 3. How do you find the cross-section of 3-Dimensional figures? 4.

### Name: Date: Period: PIZZA! PIZZA! Area of Circles and Squares Circumference and Perimeters Volume of Cylinders and Rectangular Prisms Comparing Cost

Name: Date: Period: PIZZA! PIZZA! Area of Circles and Squares Circumference and Perimeters Volume of Cylinders and Rectangular Prisms Comparing Cost Lesson One Day One: Area and Cost A. Area of Pizza Triplets

### Lateral and Surface Area of Right Prisms

CHAPTER A Lateral and Surface Area of Right Prisms c GOAL Calculate lateral area and surface area of right prisms. You will need a ruler a calculator Learn about the Math A prism is a polyhedron (solid

### MATH STUDENT BOOK. 8th Grade Unit 8

MATH STUDENT BOOK 8th Grade Unit 8 Unit 8 Measures of Solid Figures Math 808 Measures of Solid Figures Introduction 3 1. Surface Area 5 Solid Figures 5 Euler s Formula 14 Surface Area of Rectangular Prisms

### TERMINOLOGY Area: the two dimensional space inside the boundary of a flat object. It is measured in square units.

SESSION 14: MEASUREMENT KEY CONCEPTS: Surface Area of right prisms, cylinders, spheres, right pyramids and right cones Volume of right prisms, cylinders, spheres, right pyramids and right cones the effect

### Containers come in many different shapes such as cans, bottles and boxes. Which ones are prisms? Look at a selection of prisms and non-prisms.

SUPERMARKET BOXES Containers come in many different shapes such as cans, bottles and boxes. Which ones are prisms? Look at a selection of prisms and non-prisms. 1. What is necessary for a shape to be a

### Pre-Algebra Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to:

Pre-Algebra Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240 Click the mouse button

### Lesson 18: Determining Surface Area of Three Dimensional Figures

Lesson 18: Determining the Surface Area of Three Dimensional Figures Student Outcomes Students determine that a right rectangular prism has six faces: top and bottom, front and back, and two sides. They

### 21.2 Volume of Pyramids

Name lass ate 21.2 Volume of Pyramids Essential Question: How do you find the volume of a pyramid? Explore eveloping a Volume Formula You can think of irregular pyramids as parts of a rectangular prism.

### Volume and Surface Area

CHAPTER 10 Volume and Surface Area connected.mcgraw-hill.com Investigate Animations Vocabulary The BIG Idea How are volume and surface area related? Multilingual eglossary Learn Personal Tutor Virtual

### DECIMALS. Rounding Decimals Review and Multiplying Decimals. copyright amberpasillas2010. Rounding Review. Decimals are read as and

DECIMALS Rounding Decimals Review and Rounding Review Decimals are read as and 5 1 8 2 1, Thousands Hundreds Tens Ones Tenths Hundredths Read as 518 and 21 hundredths Thousandths Ten Thousandths 1 Rounding

### Placement Test Review Materials for

Placement Test Review Materials for 1 To The Student This workbook will provide a review of some of the skills tested on the COMPASS placement test. Skills covered in this workbook will be used on the

### Most classrooms are built in the shape of a rectangular prism. You will probably find yourself inside a polyhedron at school!

3 D OBJECTS Properties of 3 D Objects A 3 Dimensional object (3 D) is a solid object that has 3 dimensions, i.e. length, width and height. They take up space. For example, a box has three dimensions, i.e.