Questions

1) What is the formula for calculating the volume of a rectangular prism? State the letter of the correct answer.

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2) The dimensions of an aquarium are 48 inches long, 24 inches wide, and 18 inches high. (a) How many cubic inches of water does it hold? (b) If there are 231 cubic inches in one gallon of water, about how many gallons of water are needed to fill the tank?

a.) 231 cu in, 1 gallon

b.) 20,736 cu in, 90 gallons

c.) 4896 cu in, 21 gallons

d.) 1,152 cu in, 5 gallons

3) Find the amount of cement that is needed for a 30-foot long sidewalk that is 0.3 feet thick and 4 feet wide.

a.) 36 cu ft

b.) 18 cu ft

c.) 360 cu ft

d.) 260.4 cu ft

4) Cement is usually ordered in cubic yards. A cubic yard is equivalent to the volume of a cube that measures 1 yard, or 3 ft, on each edge; therefore, 1 cubic yard equals 27 cubic feet. About how many cubic yards of cement is needed for the sidewalk described in the previous problem?

a.) 1 to 2 cubic yards

b.) 3 to 4 cubic yards

c.) 5 to 6 cubic yards

d.) 7 to 8 cubic yards

5) The dimensions of a rectangular greenhouse are 80 feet long, 30 feet wide, and 9 feet high. It takes a 6 horsepower pump to humidify 25,000 cubic feet and a 10 horsepower pump to humidify 50,000 cubic feet. Which pump matches the needs of the green house best?

a.) 6 horsepower pump

b.) 10 horsepower pump

6) What is the volume of a cereal box with a length of 9.5 inches, a width of 3 inches, and a height of 12.5 inches?

a.) 25 cu in

b.) 369.5 cu in

c.) 174.38 cu in

d.) 356.25 cu in

7) What is the formula for calculating the volume of a cube? State the letter of the correct answer.

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8) What is the volume of a cube with an edge measuring 18.4 cm?

a.) 338.56 cu cm

b.) 73.6 cu cm

c.) 6229.504 cu cm

d.) 2031.36 cu cm

9) Which of the cubes has a volume of 512 cubic inches? State the letter of the correct answer.

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10) What is the formula for calculating the volume of a prism? State the letter of the correct answer.

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11) A triangular prism has a height of 22 feet and the dimensions of the triangular base are a base of 9 feet and a height of 6 feet. What is the volume of the triangular prism?

a.) 1188 cu ft

b.) 37 cu ft

c.) 396 cu ft

d.) 594 cu ft

12) A triangular prism has a height of 25 inches and the dimensions of the triangular base are a base of 12 inches and a height of 16 inches. What is the volume of the triangular prism? (Note: The triangular prism is resting on one of its rectangular sides, so the actual height of the prism is the distance along the edge of the prism, 25 inches.)

a.) 4800 cu in

b.) 2400 cu in

c.) 300 cu in

d.) 1492 cu in

13) The dimensions of Triangular Prism B are double the dimensions of Triangular Prism A. How does doubling the dimensions of a triangular prism affect the volume of the prism? (Hint: Find the volume of both prisms, and then divide the volume of the larger prism by the volume of the smaller prism.)

a.) The volume of Prism B is the same as the volume of Prism A.

b.) The volume of Prism B is double the volume of Prism A.

c.) The volume of Prism B is four times the volume of Prism A.

d.) The volume of Prism B is eight times the volume of Prism A.

14) An architect designed an A-frame home with the bottom floor measuring 32 feet across the front of the house and 48 feet along the length of the house. The height of the home (from the tip of the “A” along a perpendicular line to the base of the house) is 22 feet. What is the volume of the home?

a.) 18,900 cu ft

b.) 16,896 cu ft

c.) 33,792 cu ft

d,) 1536 cu ft

15) The storage building is composed of two parts, a rectangular prism as the first floor and a triangular prism as the second floor. What is the volume of the entire building? (Hint: Find the volume of each part, and then add the two volumes together.)

a.) 28,800 cu ft

b.) 34,560 cu ft

c.) 230,400 cu ft

d.) 5,760 cu ft

16) What is the formula for calculating the volume of a cylinder? State the letter of the correct answer.

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17) What is the volume of a cylinder with a height of 40 centimeters and a radius of 5.2 centimeters?

a.) 3396.224 cu cm

b.) 588.679 cu cm

c.) 84.906 cm

d.) 208 cu cm

18) What is the height of a can of tomato juice that has a volume of 87.92 cubic inches and a diameter of 4 inches? Fill in the missing parts of the steps below to solve the problem.

a.) 7 inches

b.) 3.5 inches

c.) 14 inches

d.) 12.56 inches

19) A cylindrical propane tank is 7 feet long and has a radius of 1.72 ft. How much propane does the tank hold? Give the answer in cubic feet and also in gallons, rounded to the nearest whole unit. One gallon of propane is approximately equal to 0.13 cubic feet.

a.) 13 cu ft, 100 gal

b.) 65 cu ft, 8.45 gal

c.) 65 cu ft, 500 gal

d.) 12 cu ft, 92 gal

20) What is the volume of a swimming point that has a diameter of 12 feet and a height of 8 feet? How many gallons of water will it take to fill the pool if 1 cubic foot of water equals 7.481 gallons?

a.) 226 cu ft, 1691 gallons

b.) 452 cu ft, 3,383 gallons

c.) 904 cu ft, 6,765 gallons

d.) 452 cu ft, 60 gallons

21) What is the formula for calculating the volume of a cone? State the letter of the correct answer.

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22) Compare the volume of a cone and a cylinder with the same dimensions by answering the following questions: (a) What is the volume of a cylinder with a radius of 5 meters and a height of 10 meters? (b) What is the volume of a cone with a radius of 5 meters and a height of 10 meters? Express the answer rounded to the nearest tenth. (c) The volume of the cylinder is how many times greater than the volume of the cone?

Use 3.14 for "pi"

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23) The width of a waffle cone is 2 inches and the height is 4.5 inches. What is the volume of a waffle cone?

a.) 14.3 cu in

b.) 18.84 cu in

c.) 4.71 cu in

d.) 56.62 cu in

24) A storage silo has a cylindrical base and a cone-shaped top. The cylindrical base has a diameter of 20 feet and a height of 16 feet. The cone-shaped top has a height of 6 feet. Calculate the total volume of the cylinder and then answer the following questions? (a) What is the volume of the cylindrical base? (b) What is the volume of the cone-shaped top? (c) What is the total volume of the silo?

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25) What is the formula for calculating the volume of a pyramid? State the letter of the correct answer.

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26) What is the volume of a pyramid that has a height of 15 feet and a square base that measures 12 feet along the edge of the square?

a.) 2160 cu ft

b.) 720 cu ft

c.) 360 cu ft

d.) 1080 cu ft

27) The pyramid at the top of the Washington Monument has a square base of approximately 10.5 meters on each side. The height of the pyramid is approximately 16.8 meters. What is the volume of the pyramid? Express the answer rounded to the nearest tenth.

a.) 926.1 cu m

b.) 110.3 cu m

c.) 1,852.2 cu m

d.) 617.4 cu m

28) Answer the following questions about the two pyramids: (a) What is the volume of Pyramid A that has a height of 12 inches and a square base that measures 8 feet along the edge? (b) What is the volume of Pyramid B that has a height of 24 inches and measures 16 feet along the edge?

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29) True or False. In the previous problem, Pyramid B has a volume that is double the volume of Pyramid A

True

False

30) Pyramids in Egypt were built thousands of years ago as burial tombs for the Pharaohs. The Great Pyramid was built for a Pharaoh named Khufu. It is the largest pyramid in the world. The pyramid has a square base that is 754 feet on each side and a height of 481 feet. What is the volume of the Great Pyramid? Express the answer rounded to the nearest whole foot and make sure to put commas in the large number.

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31) What is the formula for calculating the volume of a sphere? State the letter of the correct answer.

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32) What is the volume of a sphere with a radius of 9 inches? Label the answer correctly and express the answer to the nearest hundredth.

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33) The diameter of a basketball is 10 inches. What is the volume of the ball? Label the answer correctly and express the answer to the nearest hundredth.

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