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Lesson 8: Volume of Rectangular Prisms — Practice Questions

  1. 1. A rectangular toolbox has a length of $3\frac{1}{2}$ feet, a width of $1\frac{1}{2}$ feet, and a height of $2$ feet. What is the volume of the toolbox in cubic feet? ___

  2. 2. A jewelry box has dimensions of $5\frac{1}{2}$ inches by $4$ inches by $1\frac{1}{2}$ inches. What is the volume of the box in cubic inches?

    • A. 11
    • B. 22
    • C. 33
    • D. 44
  3. 3. A storage container is $4\frac{1}{2}$ feet long, $2\frac{1}{2}$ feet wide, and $2$ feet tall. Calculate its volume in cubic feet. ___

  4. 4. A block of cheese is shaped like a rectangular prism. It measures $3\frac{1}{3}$ inches long, $2$ inches wide, and $1\frac{1}{2}$ inches high. What is its volume?

    • A. $6 \frac{2}{3} \text{ in}^3$
    • B. $7 \frac{1}{6} \text{ in}^3$
    • C. $10 \text{ in}^3$
    • D. $12 \text{ in}^3$
  5. 5. A planter box is $2\frac{1}{4}$ feet long, $2$ feet wide, and $1\frac{1}{3}$ feet high. What is the total volume of the planter box in cubic feet? ___

  6. 6. A rectangular prism has a volume of 72 cubic meters, a length of 4 meters, and a height of 3 meters. The width is ___ meters.

  7. 7. A cube has a volume of $\frac{64}{125}$ cubic inches. What is the length of one edge?

    • A. $\frac{4}{5}$ inches
    • B. $\frac{8}{25}$ inches
    • C. $\frac{64}{125}$ inches
    • D. $\frac{16}{25}$ inches
  8. 8. A rectangular prism has a volume of 10 cubic feet, a width of $\frac{5}{2}$ feet, and a height of 2 feet. The length is ___ feet.

  9. 9. If you know the volume of a cube, which operation would you use to find the length of one of its edges?

    • A. Take the cube root of the volume
    • B. Square the volume
    • C. Divide the volume by 3
    • D. Multiply the volume by 3
  10. 10. A storage box has a volume of 30 cubic feet. If its length is 5 feet and its width is $\frac{3}{2}$ feet, what is its height in feet? The height is ___ feet.