If you know the volume of a rectangular prism and the area of its base, how can you determine its height?

Multiply the volume by the base area.

Divide the volume by the base area.

Divide the base area by the volume.

Add the volume and the base area.

What does volume measure, and what units are typically used?

The area of the outer surface, measured in square units.

The total length of the edges, measured in linear units.

The amount of space an object occupies, measured in cubic units.

The perimeter of the base, measured in linear units.

What is a cubic meter?

The area of a square with side lengths of 1 meter.

The volume of a cube with side lengths of 1 meter.

The perimeter of a square with side lengths of 1 meter.

The length of the diagonal of a cube with side lengths of 1 meter.

Volume Formulas and Equivalent Expressions Practice — Grade 5 math

Lesson 5: Volume Formulas and Equivalent Expressions — Practice Questions

1. If you know the volume of a rectangular prism and the area of its base, how can you determine its height?
- A. Multiply the volume by the base area.
- B. Divide the volume by the base area.
- C. Divide the base area by the volume.
- D. Add the volume and the base area.
2. Besides its mathematical meaning, what is another common meaning for the word 'volume'?
- A. The temperature of an object.
- B. The color of an object.
- C. The loudness of a sound.
- D. The speed of an object.
3. What does volume measure, and what units are typically used?
- A. The area of the outer surface, measured in square units.
- B. The total length of the edges, measured in linear units.
- C. The amount of space an object occupies, measured in cubic units.
- D. The perimeter of the base, measured in linear units.
4. What is a cubic meter?
- A. The area of a square with side lengths of 1 meter.
- B. The volume of a cube with side lengths of 1 meter.
- C. The perimeter of a square with side lengths of 1 meter.
- D. The length of the diagonal of a cube with side lengths of 1 meter.
5. A rectangular storage container is 10 inches long, 7 inches wide, and 5 inches tall. What is the volume of the container in cubic inches? \n___ cubic inches
6. A small fish tank is 2.5 feet long, 1 foot wide, and 2 feet tall. Calculate its volume in cubic feet. \n___ cubic feet
7. If the height of a rectangular box is doubled, while its length and width remain the same, what is the effect on the box's volume?
- A. The volume is halved.
- B. The volume is doubled.
- C. The volume stays the same.
- D. The volume is quadrupled.
8. A wooden block is a perfect cube, and each of its sides measures 4 inches. What is the volume of the block? \n___ cubic inches
9. A cereal box has dimensions 8 inches by 12 inches by 3 inches. A puzzle box has dimensions 10 inches by 10 inches by 2 inches. Which box has the greater volume?
- A. The cereal box
- B. The puzzle box
- C. They have equal volumes
- D. It cannot be determined
10. A storage container is 5 feet long, 4 feet wide, and 8 feet tall. What is its volume in cubic feet? \n___ cubic feet