Name: Class: Date: Geometry Chapter 3 Review


 Shannon Quentin Kennedy
 1 years ago
 Views:
Transcription
1 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 and show all your work. 5. The figure shown consists of a rectangle and two congruent circles. If the area of the rectangle is 150 square feet, what is the radius of one of the circles?. Calculate the area of the trapezoid shown.. 6. The area of the triangle shown is 7.36 square inches. What is the value of n? 3. The area of the triangle shown is square centimeters. What is the value of n? 7. The diameter of the large circle is 6 feet. The diameter of the small circle is feet. Calculate the area of the shaded portion. Leave your answer in terms of π. 4. A side length of the square is 14 inches. The diameter of the circle is 8 inches. Calculate the area of the shaded portion. Use 3.14 forπ. 1
2 Name: ID: A 8. The figure shown consists of a rectangle and 10 congruent semicircles. If the perimeter of the rectangle is 88 centimeters, what is the radius of one of the semicircles? 1. All of the line segments in the figure are either vertical or horizontal. Determine the perimeter of the figure. 9. Calculate the area of the region bound by the given coordinates on the graph. Show all your work. 13. A triangle has an area of 15.9 square millimeters. The height of the triangle is 5.3 millimeters. What is the length of the base of the triangle? Explain. 14. The figure shown is made up of three equalsized equilateral triangles. The combined area of the triangles is 63 square inches. The height of one of the triangles is 3.5 inches. What is the perimeter of the figure? Explain. 10. Draw a rectangle that has a perimeter of 36 centimeters and an area of 65 square centimeters. Include the length and width on the sketch. 11. The area of a parallelogram is 85 square meters and its base is 17 meters long. What is the height of the parallelogram?
3 Name: ID: A 15. Determine the area of the region bounded by the line segments. 17. All of the line segments in the diagram of the bathroom floor shown are either vertical or horizontal. How many oneinch square tiles would it take to tile the entire floor? In each rectangle, the length, width, or area is unknown. Calculate the value of the unknown measure All of the line segments in the figure shown are either vertical or horizontal. What is the perimeter of the figure? Calculate the missing measures using the given measure for each square. 19. Side length: Area: 16 square inches Perimeter: 0. Side length: Area: Perimeter: 36 meters 3
4 Name: ID: A Use the given information to answer each question. 1. Mr. Green is baking a square cake. He plans to frost only the top of the cake. He has enough frosting to cover 144 square inches of cake, and he wants to use all of the icing. What should be the dimensions of the cake? Calculate the area of each trapezoid with the given dimensions, where h represents the height, b 1 represents the length of a base, and b represents the length of the other base. 5. h = 1, b 1 = 10, b = 14. In each parallelogram, the base, height, or area is unknown. Calculate the value of the unknown measure. 6. In each trapezoid, one base, height, or area is unknown. Calculate the value of the unknown measure. 3. Calculate the area of each triangle. 7. Use the given information to answer each question. In each triangle, the base, height, or area is unknown. Calculate the value of the unknown measure. 8. Yvonne cut a picture into the shape of a trapezoid to place into her scrap book. The picture is shown below. What is the area of the picture? 4. 4
5 Name: ID: A 9. Calculate the area of each regular polygon. Calculate the area of each circle given the radius r of the circle. Write your answers in terms of π. 34. r = 1 cm 30. Calculate the radius of each circle given the circumference C of the circle. Write your answers in terms of.π 35. C = 0π ft 36. C = π yd Use the given information to calculate the area of each regular polygon. 31. A regular octagon has a perimeter of 36 millimeters and an apothem length of 5.4 millimeters. What is the area of the regular octagon? Calculate the radius of each circle given the area A of the circle. Write your answers in terms of π. 37. A = 16π m Calculate the circumference of each circle given the radius r of the circle. Write your answers in terms of.π 38. A = 49π yd 3. r = 3 in. Use the given information to answer each question. 33. r = 10 ft 39. If a circle has a circumference of 3π feet, what is its area? 40. If a circle has an area of 4π square meters, what is its circumference? 5
6 Name: ID: A Calculate the area of each annulus shown. Use 3.14 to approximate π Convert the given units. Calculate the area of the shaded portion of each figure. All measurements are in inches. Use 3.14 for π and round decimal answers to the nearest hundredth. Example: Convert 54 square feet into square yards. 54 square feet 1 square yard 9 square feet = 6 square yards Convert 88 square inches into square feet. 43. Convert 6 square feet into square inches. 44. Calculate the area of each figure. All measurements are in centimeters. Use 3.14 for π and round decimal answers to the nearest hundredth. 6
7 Geometry Chapter 3 Review Answer Section 1. ANS: Draw a rectangle. The length of the field is 85 meters because = 85. So, the perimeter of the field is 330 meters because (80) + (85) = 330. PTS: 1 REF: Ch3.1 TOP: Pre Test. ANS: b 1 = 1 cm, b = 0 cm, h = 6 cm A = 1 (b 1 + b )h = 1 (1 + 0)6 = 96 The area of the trapezoid is 96 square centimeters. PTS: 1 REF: Ch3.3 TOP: Pre Test 3. ANS: A = cm, h = 5. cm, b = n A = 1 bh = 1 (n)(5.) 14.8 = n The value of n is PTS: 1 REF: Ch3. TOP: Pre Test 4. ANS: Calculate the areas of the square and circle, then calculate the difference between the areas: A = π square inches. PTS: 1 REF: Ch3.6 TOP: Pre Test 1
8 5. ANS: The length of the rectangle is equal to 4r and the width is equal to r, where r is the radius of one circle. Substitute these values into the formula for the area of a rectangle and solve for r. A = lw 150 = (4r)(r) 150 = 8r 1.5 = r The radius of one of the circles is 1.5 feet. PTS: 1 REF: Ch3.6 TOP: Pre Test 6. ANS: A = 7.36 in., h = n, b = 1.6 in. A = 1 bh 7.36 = 1 (1.6)(n) The value of n is 6.7. PTS: 1 REF: Ch3. TOP: Post Test 7. ANS: Calculate the areas of the small and large circles, then find the difference between the area of the two circles: A = 9π π = 8π square feet. PTS: 1 REF: Ch3.6 TOP: Post Test 8. ANS: There are 10 semicircles. Divide the perimeter of the rectangle by 10 to get the length of each diameter: = 8.8 centimeters. Divide each diameter by to get the length of each radius: 8.8 = 4.4 centimeters. The radius of one of the semicircles is 4.4 centimeters. PTS: 1 REF: Ch3.6 TOP: Post Test 9. ANS: Connect point (6, 0) with point (13, 14) to form two triangles. The area of the large triangle is 1 (13)(14) = 91 square units. The area of the small triangle is 1 (3)(6) = 9 square units. The total area of the region is = 100 square units. PTS: 1 REF: Ch3. TOP: Mid Ch Test
9 10. ANS: Determine two numbers that when multiplied equal 65 and when added and multiplied by equal 36. The product of the numbers 5 and 13 are equal to 65, and when added and multiplied by are equal to 36. PTS: 1 REF: Ch3.1 TOP: Mid Ch Test 11. ANS: The height is = 5 meters. PTS: 1 REF: Ch3. TOP: Mid Ch Test 1. ANS: The perimeter is = 40 centimeters. PTS: 1 REF: Ch3.6 TOP: Mid Ch Test 13. ANS: Substitute 15.9 for A and 5.3 for h into the formula for the area of a triangle. Then solve for b. A = 1 bh 15.9 = 1 (b)(5.3) 6 = b The length of the base of the triangle is 6 millimeters. PTS: 1 REF: Ch3. TOP: Mid Ch Test 14. ANS: First, determine the area of one triangle. Because the triangles are equalsized, the areas are equal. The area of one triangle is 63 3 = 1 square inches. The length of a side of the triangle is ( 1) 3.5 = 1 inches. The perimeter is made up of 5 equal sides of the triangles, or 5(1) = 60 inches. The perimeter of the figure is 60 inches. PTS: 1 REF: Ch3.6 TOP: Mid Ch Test 15. ANS: To determine the area, you can add the areas of the two rectangles. One rectangle is 11 units by 1 units and the other rectangle is 10 units by 6 units. Total area = 11(1) + 10(6) = = 19 The area of the region bounded by the line segments is 19 square units. PTS: 1 REF: Ch3.6 TOP: End Ch Test 3
10 16. ANS: The sum of the shorter horizontal segments is 0 yards, and the sum of the shorter vertical segments is 18 yards. So, = 76. The perimeter is 76 yards. PTS: 1 REF: Ch3.6 TOP: End Ch Test 17. ANS: First, calculate the sum of the areas of the two rectangles:7(6) + 5(9) = = 89 square feet. Then, multiply the number of square feet by 144, the number of square inches in one square foot: = 1,816. So, 1,816 oneinch square tiles are needed to tile the entire floor. PTS: 1 REF: Ch3.6 TOP: End Ch Test 18. ANS: A = lw 35 = 7w 5 = w The width is 5 feet. PTS: 1 REF: Ch3.1 TOP: Skills Practice 19. ANS: Side length: 4 inches Perimeter: 16 inches PTS: 1 REF: Ch3.1 TOP: Skills Practice 0. ANS: Side length: 9 meters Area: 81 square meters PTS: 1 REF: Ch3.1 TOP: Skills Practice 1. ANS: Area = side 144 = s 1 = s The cake should be a square with each side 1 inches long. PTS: 1 REF: Ch3.1 TOP: Skills Practice. ANS: A = bh 36 = 18h = h The height is meters. PTS: 1 REF: Ch3. TOP: Skills Practice 4
11 3. ANS: A = 1 (0)(11) = 1 (0) = 110 mm PTS: 1 REF: Ch3. TOP: Skills Practice 4. ANS: A = 1 bh 6 = 1 b(3) 1 = 3b 4 = b The base of the triangle is 4 yards. PTS: 1 REF: Ch3. TOP: Skills Practice 5. ANS: A = 1 ( ) Ê 1 ˆ Ë Á Ê 1 ˆ Ë Á = 6 The area is 6 square units. PTS: 1 REF: Ch3.3 TOP: Skills Practice 6. ANS: 1 (b + 3) = 8 1 b = 8 b 1 = 5 The trapezoid has a base of 5 centimeters. PTS: 1 REF: Ch3.3 TOP: Skills Practice 7. ANS: 1 (1 + 3)h = 5 h = 5 h =.5 The trapezoid has a height of.5 feet. PTS: 1 REF: Ch3.3 TOP: Skills Practice 5
12 8. ANS: A = 1 (b + b )h 1 A = 1 (4 + 7)5 A = 1 (11)(5) A = 7.5 The area of the picture is 7.5 square inches. PTS: 1 REF: Ch3.3 TOP: Skills Practice 9. ANS: A = 1 (0)(4.1)(8) = 198 The area is 198 square kilometers. PTS: 1 REF: Ch3.4 TOP: Skills Practice 30. ANS: A = 1 (4)(7.5)(1) = 180 The area is 180 square inches. PTS: 1 REF: Ch3.4 TOP: Skills Practice 31. ANS: A = 1 (36)(5.4) = 97. The area of the regular octagon is 97. square millimeters. PTS: 1 REF: Ch3.4 TOP: Skills Practice 3. ANS: C = πr = (π)(3) = 6π in. 33. ANS: C = πr = (π)(10) = 0π ft 6
13 34. ANS: A = πr = π(1 ) = 144π cm 35. ANS: C = πr 0π = πr 110 = r r = 110 ft 36. ANS: C = πr π = πr 0.5 = r r = 0.5 yd 37. ANS: A = πr 16π = πr 16 = r 4 = r r = 4 m 38. ANS: A = πr 49π = πr 49 = r 7 = r r = 7 yd 7
14 39. ANS: C = πr A = πr 3π = πr A = π(1.5 ) 1.5 = r A =.5π The area of the circle is.5π square feet. 40. ANS: A = πr C = πr 4π = πr 4 = r C = π() C = 4π = r The circumference of the circle is 4π meters. 41. ANS: Area of larger circle: A = πr = π( ) = 484π ft Area of smaller circle: A = πr = π(11 ) = 11π ft Area of annulus: A = ft 4. ANS: 1 square foot 88 square inches = square feet 144 square inches PTS: 1 REF: Ch3.6 TOP: Skills Practice 43. ANS: 144 square inches 6 square feet = 864 square inches 1 square foot PTS: 1 REF: Ch3.6 TOP: Skills Practice 8
15 44. ANS: A = 1 ( )(15) + 1 (0)(15) = = cm PTS: 1 REF: Ch3.6 TOP: Skills Practice 45. ANS: A = 4(3) + 1 (3.14)( ) = = 18.8 cm PTS: 1 REF: Ch3.6 TOP: Skills Practice 46. ANS: A 0(0) (3.14)(10 ) = = 86 in. PTS: 1 REF: Ch3.6 TOP: Skills Practice 9
Area 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 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 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 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 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 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 informationPerimeter is the length of the boundary of a two dimensional figure.
Section 2.2: Perimeter and Area Perimeter is the length of the boundary of a two dimensional figure. The perimeter of a circle is called the circumference. The perimeter of any two dimensional figure whose
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 informationGeo  CH9 Practice Test
Geo  H9 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the area of the parallelogram. a. 35 in 2 c. 21 in 2 b. 14 in 2 d. 28 in 2 2.
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 informationPERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various twodimensional figures.
PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various twodimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the
More informationChapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?
Chapter Quiz Section.1 Area and Initial Postulates (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter? (.) TRUE or FALSE: If two plane
More informationSigns, Signs, Every Place There Are Signs! Area of Regular Polygons p. 171 Boundary Lines Area of Parallelograms and Triangles p.
C H A P T E R Perimeter and Area Regatta is another word for boat race. In sailing regattas, sailboats compete on courses defined by marks or buoys. These courses often start and end at the same mark,
More information114 Areas of Regular Polygons and Composite Figures
1. In the figure, square ABDC is inscribed in F. Identify the center, a radius, an apothem, and a central angle of the polygon. Then find the measure of a central angle. Center: point F, radius:, apothem:,
More informationGeometry Chapter 9 Extending Perimeter, Circumference, and Area
Geometry Chapter 9 Extending Perimeter, Circumference, and Area Lesson 1 Developing Formulas for Triangles and Quadrilaterals Learning Target (LT1) Solve problems involving the perimeter and area of triangles
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 informationPerimeter and area formulas for common geometric figures:
Lesson 10.1 10.: Perimeter and Area of Common Geometric Figures Focused Learning Target: I will be able to Solve problems involving perimeter and area of common geometric figures. Compute areas of rectangles,
More informationThe area of a figure is the measure of the size of the region enclosed by the figure. Formulas for the area of common figures: square: A = s 2
The area of a figure is the measure of the size of the region enclosed by the figure. Formulas for the area of common figures: square: A = s 2 s s rectangle: A = l w parallelogram: A = b h h b triangle:
More information93. Area of Irregular Figures Going Deeper EXPLORE. Essential question: How do you find the area of composite figures? Area of a Composite Figure
Name Class Date 93 1 Area of Irregular Figures Going Deeper Essential question: How do you find the area of composite figures? CC.7.G.6 EXPLORE Area of a Composite Figure video tutor Aaron was plotting
More informationPerimeter. 14ft. 5ft. 11ft.
Perimeter The perimeter of a geometric figure is the distance around the figure. The perimeter could be thought of as walking around the figure while keeping track of the distance traveled. To determine
More information10.1 Areas of Quadrilaterals and triangles
10.1 Areas of Quadrilaterals and triangles BASE AND HEIGHT MUST FORM A RIGHT ANGLE!! Draw the diagram, write the formula and SHOW YOUR WORK! FIND THE AREA OF THE FOLLOWING:. A rectangle with one side of
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 informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
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 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 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 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 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 informationGeometry Chapter 9 Extending Perimeter, Circumference, and Area
Geometry Chapter 9 Extending Perimeter, Circumference, and Area Lesson 1 Developing Formulas for Triangles and Quadrilaterals Learning Targets LT91: Solve problems involving the perimeter and area of
More informationApplications for Triangles
Not drawn to scale Applications for Triangles 1. 36 in. 40 in. 33 in. 1188 in. 2 69 in. 2 138 in. 2 1440 in. 2 2. 188 in. 2 278 in. 2 322 in. 2 none of these Find the area of a parallelogram with the given
More information3. If AC = 12, CD = 9 and BE = 3, find the area of trapezoid BCDE. (Mathcounts Handbooks)
EXERCISES: Triangles 1 1. The perimeter of an equilateral triangle is units. How many units are in the length 27 of one side? (Mathcounts Competitions) 2. In the figure shown, AC = 4, CE = 5, DE = 3, and
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 informationPerimeter and Area. An artist uses perimeter and area to determine the amount of materials it takes to produce a piece such as this.
UNIT 10 Perimeter and Area An artist uses perimeter and area to determine the amount of materials it takes to produce a piece such as this. 3 UNIT 10 PERIMETER AND AREA You can find geometric shapes in
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 Review. Here are some formulas and concepts that you will need to review before working on the practice exam.
Geometry Review Here are some formulas and concepts that you will need to review before working on the practice eam. Triangles o Perimeter or the distance around the triangle is found by adding all of
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 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 informationArea. Area Overview. Define: Area:
Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.
More informationCHAPTER 27 AREAS OF COMMON SHAPES
EXERCISE 113 Page 65 CHAPTER 7 AREAS OF COMMON SHAPES 1. Find the angles p and q in the diagram below: p = 180 75 = 105 (interior opposite angles of a parallelogram are equal) q = 180 105 0 = 35. Find
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 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 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 information1) Find perimeter and area of the figure. 2) Find perimeter and area of the figure.
WS#1: PERIMETER AND AREA (H) NAME PD 1) Find perimeter and area of the figure. 2) Find perimeter and area of the figure. For the following exercises, use the figure and measurements below to find the indicated
More information2006 Geometry Form A Page 1
2006 Geometry Form Page 1 1. he hypotenuse of a right triangle is 12" long, and one of the acute angles measures 30 degrees. he length of the shorter leg must be: () 4 3 inches () 6 3 inches () 5 inches
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 informationMeasurement and Geometry: Perimeter and Circumference of Geometric Figures
OpenStaxCNX module: m35022 1 Measurement and Geometry: Perimeter and Circumference of Geometric Figures Wade Ellis Denny Burzynski This work is produced by OpenStaxCNX and licensed under the Creative
More information1.7 Find Perimeter, Circumference,
.7 Find Perimeter, Circumference, and rea Goal p Find dimensions of polygons. Your Notes FORMULS FOR PERIMETER P, RE, ND CIRCUMFERENCE C Square Rectangle side length s length l and width w P 5 P 5 s 5
More informationName: 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 informationSection 7.2 Area. The Area of Rectangles and Triangles
Section 7. Area The Area of Rectangles and Triangles We encounter two dimensional objects all the time. We see objects that take on the shapes similar to squares, rectangle, trapezoids, triangles, and
More informationMEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.
MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units
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 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 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 informationMath Tech 1 Unit 11. Perimeter, Circumference and Area. Name Pd
Math Tech 1 Unit 11 Perimeter, Circumference and Area Name Pd 111 Perimeter Perimeter  Units  Ex. 1: Find the perimeter of a rectangle with length 7 m and width 5 m. Ex. 2: Find the perimeter of the
More informationGeometry  Calculating Area and Perimeter
Geometry  Calculating Area and Perimeter In order to complete any of mechanical trades assessments, you will need to memorize certain formulas. These are listed below: (The formulas for circle geometry
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 informationPerimeter, Circumference, Area and Ratio LongTerm 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
More informationCIRCUMFERENCE AND AREA OF CIRCLES
CIRCUMFERENCE AND AREA F CIRCLES 8..1 8.. Students have found the area and perimeter of several polygons. Next they consider what happens to the area as more and more sides are added to a polygon. By exploring
More informationPostulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.
Chapter 11: Areas of Plane Figures (page 422) 111: Areas of Rectangles (page 423) Rectangle Rectangular Region Area is measured in units. Postulate 17 The area of a square is the square of the length
More informationSect 9.5  Perimeters and Areas of Polygons
Sect 9.5  Perimeters and Areas of Polygons Ojective a: Understanding Perimeters of Polygons. The Perimeter is the length around the outside of a closed two  dimensional figure. For a polygon, the perimeter
More informationPerimeter, Circumference, and Area
9 Perimeter, Circumference, and Area 9. Plan What You ll Learn To find perimeters of rectangles and squares, and circumferences of circles To find areas of rectangles, squares, and circles... And Why
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 informationAREA AND PERIMETER OF COMPLEX PLANE FIGURES
AREA AND PERIMETER OF OMPLEX PLANE FIGURES AREA AND PERIMETER OF POLYGONAL FIGURES DISSETION PRINIPLE: Every polygon can be dissected (or broken up) into triangles (or rectangles), which have no interior
More informationBLoCK 1 ~ surface AreA And VoLuMe
BLoCK 1 ~ surface AreA And VoLuMe two  dimensional geometry Lesson 1 areas of TrianGLes and parallelograms  3 Lesson 2 area of a TrapezoiD 
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 information43 Perimeter and Area
43 Perimeter and Area Perimeters of figures are encountered in real life situations. For example, one might want to know what length of fence will enclose a rectangular field. In this section we will study
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 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 informationCircumference Pi Regular polygon. Dates, assignments, and quizzes subject to change without advance notice.
Name: Period GPreAP UNIT 14: PERIMETER AND AREA I can define, identify and illustrate the following terms: Perimeter Area Base Height Diameter Radius Circumference Pi Regular polygon Apothem Composite
More informationRectangle Square Triangle
HFCC Math Lab Beginning Algebra  15 PERIMETER WORD PROBLEMS The perimeter of a plane geometric figure is the sum of the lengths of its sides. In this handout, we will deal with perimeter problems involving
More informationStudent Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)
Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.
More informationLesson 12.1 Skills Practice
Lesson 12.1 Skills Practice Name Date Introduction to Circles Circle, Radius, and Diameter Vocabulary Define each term in your own words. 1. circle A circle is a collection of points on the same plane
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 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 informationEach pair of opposite sides of a parallelogram is congruent to each other.
Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. 2. Each pair of opposite
More informationMeasure the side of the figure to the nearest centimeter. Then find the perimeter. 1.
Measure the side of the figure to the nearest centimeter. Then find the perimeter. 1. a. 3 cm b. 6 cm c. 8 cm d. 9 cm 2. a. 4 cm b. 6 cm c. 8 cm d. 10 cm Powered by Cognero Page 1 Find the perimeter of
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Santa Monica College COMPASS Geometry Sample Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the area of the shaded region. 1) 5 yd 6 yd
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 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 information114 Areas of Regular Polygons and Composite Figures
1.In the figure, square ABDC is inscribed in F. Identify the center, a radius, an apothem, and a central angle of the polygon. Then find the measure of a central angle. SOLUTION: Center: point F, radius:,
More informationPOOLS The diagram of the pool from the beginning of the lesson is shown below. Find the area of the pool s floor. 28 ft. 6 ft. 4 ft.
MultiPart Lesson 93 PART Main Idea Find areas of composite figures. glencoe.com Composite Figures A C B D Area of Composite Figures 8 ft POOLS The dimensions of a pool at recreation center are shown..
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 informationCircumference and Area of Circles
ircumference and Area of ircles 7 MAIN IDEA Measure and record the distance d across the circular part of an object, such as a battery or a can, through its center. Find the circumference and area of
More informationExercise Worksheets. Copyright. 2002 Susan D. Phillips
Exercise Worksheets Copyright 00 Susan D. Phillips Contents WHOLE NUMBERS. Adding. Subtracting. Multiplying. Dividing. Order of Operations FRACTIONS. Mixed Numbers. Prime Factorization. Least Common Multiple.
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 informationMATH STUDENT BOOK. 6th Grade Unit 8
MATH STUDENT BOOK 6th Grade Unit 8 Unit 8 Geometry and Measurement MATH 608 Geometry and Measurement INTRODUCTION 3 1. PLANE FIGURES 5 PERIMETER 5 AREA OF PARALLELOGRAMS 11 AREA OF TRIANGLES 17 AREA OF
More informationGAP CLOSING. 2D Measurement. Intermediate / Senior Student Book
GAP CLOSING 2D Measurement Intermediate / Senior Student Book 2D Measurement Diagnostic...3 Areas of Parallelograms, Triangles, and Trapezoids...6 Areas of Composite Shapes...14 Circumferences and Areas
More informationGeometry SOL G.11 G.12 Circles Study Guide
Geometry SOL G.11 G.1 Circles Study Guide Name Date Block Circles Review and Study Guide Things to Know Use your notes, homework, checkpoint, and other materials as well as flashcards at quizlet.com (http://quizlet.com/4776937/chapter10circlesflashcardsflashcards/).
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 information103 Area of Parallelograms
03 Area of Parallelograms MAIN IDEA Find the areas of parallelograms. NYS Core Curriculum 6.A.6 Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest,
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 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 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 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 informationLESSON 10 GEOMETRY I: PERIMETER & AREA
LESSON 10 GEOMETRY I: PERIMETER & AREA INTRODUCTION Geometry is the study of shapes and space. In this lesson, we will focus on shapes and measures of onedimension and twodimensions. In the next lesson,
More informationArea and Perimeter. Name: Class: Date: Short Answer
Name: Class: Date: ID: A Area and Perimeter Short Answer 1. The squares on this grid are 1 centimeter long and 1 centimeter wide. Outline two different figures with an area of 12 square centimeters and
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 informationArea and Circumference
4.4 Area and Circumference 4.4 OBJECTIVES 1. Use p to find the circumference of a circle 2. Use p to find the area of a circle 3. Find the area of a parallelogram 4. Find the area of a triangle 5. Convert
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 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 information