Volume and Surface Area

Name______Date______Class______MODULE Volume and Surface Area 10 Review

1. A rectangular prism has a length of 6. A triangular pyramid has a height of 11.8 meters, a width of 4.2 meters, and 18 yards and a base with an area of 330 a height of 5 meters. What is the volume square yards. What is the volume of the of the prism? pyramid? A 59.1 m3 C 247.8 m3 A 660 yd3 C 2,970 yd3 B 82.6 m3 D 495.6 m3 B 1,980 yd3 D 5,940 yd3 2. The volume of a rectangular pyramid is 4,000 cubic feet. The area of the base is Use the diagram for 7–9. 40 square feet. What is the height of the pyramid? A 100 ft C 400 ft B 300 ft D 1,600 ft 3. A furniture store buys leather sofas from a manufacturer for $200 each and marks up the price 65%. Which expression 7. What is the total surface area of the represents the retail price? rectangular prism whose net is shown? A 1.35p C 0.35p  200 A 539 m2 C 1,078 m2 B 0.65p65 D 1.65p B 850 m2 D 1,250 m2 4. What is the volume of the triangular prism 8. What is the lateral area of the rectangular below? prism whose net is shown? A 204 m2 C 432 m2 B 228 m2 D 850 m2 9. What is the volume of the rectangular prism whose net is shown? A 432 m3 C 969 m3 A 2,520 cm3 C 5,040 cm3 B 646 m3 D 1,938 m3 B 2,625 cm3 D 5,250 cm3 10. Renting a bicycle costs $15 for the first 5. Kelly and 3 friends collected seashells hour and $5.50 for each additional hour. at the beach. Working together, they Let x represent the number of additional 1 hours. If you have $25 to spend, which of collected 8 buckets of seashells. They 2 the following equations could be used to divide the seashells equally among them. find how many hours you can rent a How many buckets of seashells does bicycle? each person get? A 5.5x + 15 = 25 1 1 A 1 buckets C 2 buckets B 15x + 5.5 = 25 2 4 C 5.5x - 15 = 25 1 1 B 2 buckets D 3 buckets D 15x - 5.5 = 25 8 2

MODULE Volume and Surface Area 10

11. The volume of a rectangular prism is 16. A triangular pyramid has a height of 7,200 cubic centimeters. It has a length 27 meters and a base with an area of of 24 centimeters and a width of 575 square meters. What is the volume 20 centimeters. What is its height? of the pyramid? ______12. What is the volume of the rectangular Use the net for 17–19. pyramid below?

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13. The day after Valentine’s Day, boxes of assorted chocolates go on sale and are 17. What is the total surface area of the marked down 55%. The original price of a rectangular pyramid whose net is shown? heart-shaped box of assorted chocolates ______is $25.99. What is the sale price? ______18. What is the lateral area of the rectangular pyramid whose net is shown? 14. A triangular prism has a height of ______78 yards and a base with an area of 402 square yards. What is the volume of 19. What is the volume of the rectangular the prism? pyramid? ______

15. A skydiver jumped out of a plane and 20. A birdwatcher saw 3 blue jays on the first descended 0.66 miles in 1.5 minutes. day of his vacation. Each day after that What was the skydiver’s average change he saw 2 more blue jays than he did the of altitude per minute? previous day. On the last day of vacation, ______he saw 27 blue jays. Write an equation that could be solved to find the number of days the birdwatcher was on vacation since the first day. ______