Lesson 3: Side Lengths and Volumes of Cubes — Practice Questions

1. 1. A decorative glass cube has a side length of 5 inches. What is its volume in cubic inches? The volume is ___ cubic inches.

2. 2. A cube has a side length of $x$. Which of the following expressions represents the volume of the cube?

   • A. $3x$
   • B. $x^2$
   • C. $x^3$
   • D. $6x^2$

3. 3. A small, cube-shaped jewelry box has sides measuring 1.5 centimeters each. Calculate its volume. The volume is ___ cubic centimeters.

4. 4. A large toy block is a cube with each edge measuring 10 cm. What is the volume of the toy block?

   • A. 30 cubic cm
   • B. 100 cubic cm
   • C. 600 cubic cm
   • D. 1000 cubic cm

5. 5. A storage container is a perfect cube with each side measuring 3 feet. The volume of the container is ___ cubic feet.

6. 6. A cubic storage container has a volume of $125 \text{ ft}^3$. What is the length of one of its edges in feet? ___

7. 7. A large ice cube is perfectly cubic and has a volume of $729 \text{ cm}^3$. What is the length of one side of the ice cube?

   • A. 7 cm
   • B. 8 cm
   • C. 9 cm
   • D. 27 cm

8. 8. A jewelry box shaped like a cube has a volume of $343 \text{ cubic inches}$. The length of one edge of the box is ___ inches.

9. 9. The volume of a cube is $V$ and its edge length is $s$. Which equation correctly finds the edge length from the volume?

   • A. $s = V^3$
   • B. $s = \frac{V}{3}$
   • C. $s = 3V$
   • D. $s = \sqrt[3]{V}$

10. 10. A cubic shipping crate has a volume of $1000 \text{ cubic meters}$. What is the length of each edge in meters? ___