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1 Teacher: Ms. Williams Print Close Name: A side of a cube measures 4 centimeters and a side of a smaller cube measures 2 centimeters. The volume of the larger cube is how many times the volume of the smaller cube? The volume of a rectangular solid is 80 cubic centimeters, the length is 2 centimeters, and the width is 4 centimeters. What is the height of the rectangular solid? centimeters 2. 6 centimeters centimeters centimeters The volume of a rectangular solid is 180 cubic centimeters. The length is 10 centimeters, and the width is 4 centimeters. Using the formula V = lwh, calculate the height centimeters centimeters centimeters centimeters If the length of the edge of a cube is 5x, the volume of the cube is 1. 5x x x x 3 5. A right circular cylinder has a base whose area is 12π. If the height of the cylinder is 6, the volume of the cylinder is 1. 18π 3. 36π 2. 24π 4. 72π 6. The volume of a cube is 64 cubic inches. Its total surface area, in square inches, is /15

2 Which polygon makes up the bases of this prism? Which piece of paper can be folded into a pyramid? hexagon 3. octagon 2. heptagon 4. nonagon Which polygon makes up the bases of this prism? 11. Triangle ABC represents a metal flag on pole AD, as shown in the accompanying diagram. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape. 1. hexagon 3. octagon 2. heptagon 4. nonagon 9. Which is the correct formula for finding the surface area of a rectangular prism? 1. 2hw + 2lh + 3hw 2. 2lw + 2lh + 2hw 3. 2lw 2lh 2hw 4. Which shape would the spinning flag create? 1. sphere 3. right circular cylinder 2. pyramid 4. cone 2/15

3 A box in the shape of a cube has a volume of 64 cubic inches. What is the length of a side of the box? A storage container in the shape of a right circular cylinder is shown in the accompanying diagram. 1. in in 3. 8 in 4. 4 in 13. Which diagram represents the figure with the greatest volume? What is the volume of this container, to the nearest hundredth? in in in in /15

4 Find the surface area of the closed cylinder shown in the diagram. Its radius is 2 centimeters and its height is 6 centimeters. What is the surface area of the rectangular solid shown in the diagram? cm cm π cm π cm π cm π cm2 16. If the volume of the cylinder below is 48π cubic inches, what is the diameter of the cylinder? cm cm2 18. The volume of the box shown in the diagram is 40π 3 cubic units. Find the length of x inches inches 2. 8 inches 4. 2 inches 1. 4π units 3. 33π units 2. 4 units 4. 4π2 units 4/15

5 What is the surface area of this regular pyramid? If the volume of this regular pyramid is 300 ft 3, what is the length of one of the sides of its square base? square units square units square units square units 20. What is the volume of the regular triangular prism shown below? ft 3. 6 ft ft ft cm cm 3 3. cm cm 3 5/15

6 Find the volume of the cone below. Find the surface area of the regular hexagonal prism π cm 3 2. cm π cm 3 4. cm If the surface area of the box in the diagram is square feet, what is the value of x? 1. 3 ft ft ft 4. 5 ft 6/15

7 What is the lateral area of the cone shown below? The cone below has a slant height of 13 cm. If the lateral area of the cone is 91π cm 2, what is its diameter? ft 2. 5π ft π ft π ft cm cm cm cm 27. If the volume of a cone is 168π inches 3 and its altitude is 14 inches, what is the radius of the cone? inches inches inches 4. 6 inches 7/15

8 Find the volume of the sphere centered at O, below, if the length of is 4.5 cm. Given the volume of a sphere is 36π cm 3, what would be the surface area of the same sphere? 1. 18π cm π cm 2. 36π cm 4. 36π cm2 31. Given the surface area of a sphere is 900π, what is the volume of the sphere? π π π π π cm cm π cm π cm2 29. If the volume of a sphere is 660 mm 3, what is the radius of the sphere, to the nearest tenth of a millimeter? mm mm mm mm 8/15

9 Given the lateral area of the following cone is ft 2, which of the following is the measure of the altitude of the cone? What is the surface area of the cone below? ft 2. ft 3. 8 ft 4. 6 ft 1. 24π 3. 3π 2. 12π /15

10 The pyramid in the diagram below has a square base, 30 feet on each side. Its slant height is 150 feet. What is the lateral area of the pyramid? What is the lateral area of the cylinder shown below? 1. 18,000 ft ,900 ft2 2. 9,900 ft2 4. 9,000 ft π mm π mm π mm π mm2 10/15

11 Given the lateral area of the box below is 168, solve for x. Find the area of one of the bases of a circular cylinder whose lateral area is 30π and whose height is π 3. 9π 2. 6π 4. 81π 39. The figure in the diagram below is a triangular prism If the lateral area below is 72 ft 2, solve for x. Which statement must be true? ft ft ft 4. 4 ft 11/15

12 The diagram shows a pyramid with a square base. The diagram shows a prism. The base is a regular pentagon. Which of the following statements is false? Which of the following statements is false? The lateral faces of a regular pyramid are composed of 1. squares 2. rectangles 3. congruent right triangles 4. congruent isosceles triangles 12/15

13 In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches. Which expression represents the volume, in cubic centimeters, of the cylinder represented in the diagram below? What is the volume of the cone to the nearest cubic inch? π π π 4. 3,888π A right circular cylinder has a volume of 1,000 cubic inches and a height of 8 inches. What is the radius of the cylinder to the nearest tenth of an inch? /15

14 The diagram below shows a right pentagonal prism. The diagram below shows a rectangular prism. Which pair of edges are segments of lines that are coplanar? Which statement is always true? and 2. and 3. and 4. and If the surface area of a sphere is represented by 144π, what is the volume in terms of π? 1. 36π π 2. 48π π 14/15

15 In the diagram below, AEFG. is perpendicular to plane A packing carton in the shape of a triangular prism is shown in the diagram below. What is the volume, in cubic inches, of this carton? Which plane must be perpendicular to plane AEFG? 1. ABCE 3. CDFE 2. BCDH 4. HDFG /15

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