Volume Formulas

Name _______________________________________ Date __________________ Class __________________ MODULE

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Volume Formulas Review

Use the figure for 1–2. A company makes specialized fish tanks for office buildings.

1. What is the volume of the tank in cubic feet? Show your work.

2. Use the conversion factor

1 gallon to estimate the volume of the tank to the nearest 0.134 ft 3

gallon.

Use the figures for 3–4. Right Cylinder

Oblique Cylinder

3. Compare the volumes of the right cylinder and the oblique cylinder.

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4. What is the volume of the oblique cylinder rounded to the nearest cm ?

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Name _______________________________________ Date __________________ Class __________________

Use the figure for 5–7.

5. What is the volume of the pyramid rounded to the nearest tenth? Show your work.

Suppose the pyramid shown above sits exactly on top of a cube.

6. Is it possible to determine the volume of this object using only the dimensions of the pyramid? If so, calculate the volume. If not, explain why not.

7. Maya thinks the volume of the pyramid is one-third the volume of the cube. Is she correct? Why or why not?

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Name _______________________________________ Date __________________ Class __________________ MODULE

16

Volume Formulas Module Quiz: B

Use the figure for 8–10. A block is shaped like a rectangular prism. A cone-shaped portion is removed from the block. The diameter of the cone is 4 inches.

8. What is the volume of the rectangular prism before the cone-shaped portion is removed?

9. What is the volume of the cone-shaped portion that has been removed? Round your answer to the nearest tenth.

10. What is the remaining volume of the prism? Round your answer to the nearest tenth.

11. A cone has a diameter of 2 inches and a height of 6 inches. Which would increase the volume the most, a 3-inch increase in height or a 1-inch increase in diameter? Explain your reasoning. Calculate each volume. Round to the nearest tenth.

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Name _______________________________________ Date __________________ Class __________________

12. What is the volume of the composite figure in terms of π ?

A hemisphere sits on top of a cylinder.

13. What is the volume of the composite figure to the nearest tenth?

14. A sphere sits inside a cylinder and touches all sides. The radius of the sphere is 10 cm. What is the volume of the cylinder outside the sphere? Round your answer to the nearest tenth.

Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

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