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Lesson 42: Volume — Practice Questions

  1. 1. A hexagonal prism has a base area of $40 \text{ m}^2$ and a height of $9 \text{ m}$. The volume of the prism is ___ $\text{m}^3$.

  2. 2. A prism has a volume of $560 \text{ cm}^3$ and a height of $10 \text{ cm}$. What is the area of its base?

    • A. $56 \text{ cm}^2$
    • B. $5600 \text{ cm}^3$
    • C. $56 \text{ cm}$
    • D. $460 \text{ cm}^2$
  3. 3. The base of a prism is a right triangle with legs measuring $5 \text{ ft}$ and $12 \text{ ft}$. If the prism's height is $8 \text{ ft}$, what is its volume in cubic feet? ___

  4. 4. To find the volume of any prism, you multiply the area of its base ($B$) by what other measurement?

    • A. The perimeter of the base
    • B. The height of the prism
    • C. The number of vertices
    • D. The area of a side face
  5. 5. A storage container is a prism with a base area of $50 \text{ ft}^2$. If the container is $6 \text{ ft}$ tall, its total volume is ___ $\text{ft}^3$.

  6. 6. A storage container is 10 feet long, 8 feet wide, and 6 feet high. What is its volume in cubic feet? ___

  7. 7. What is the volume of a cube-shaped box with a side length of 5 inches?

    • A. 15 in³
    • B. 25 in³
    • C. 125 in³
    • D. 150 in³
  8. 8. A rectangular garden bed is 4 meters long, 2 meters wide, and 3 meters high. Calculate its volume in cubic meters. ___

  9. 9. If the length, width, and height of a rectangular prism are measured in centimeters (cm), what are the correct units for its volume?

    • A. cm
    • B. cm²
    • C. cm³
    • D. cm⁴
  10. 10. A shipping crate has a length of 20 inches, a width of 10 inches, and a height of 15 inches. What is the volume of the crate in cubic inches? ___