Grade 5 Volume of Rectangular Prisms Practice Test

Correct answer: A

The correct answer is Area measures a flat surface, while volume measures space inside a solid..

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: Area uses square units for a surface; volume uses cubic units for a three-dimensional space.
3. Check the choice: The correct choice is Area measures a flat surface, while volume measures space inside a solid..

Correct answer: B

The correct answer is $2 \times 3 \times 4$ and $1 \times 4 \times 6$.

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: Both products equal 24 cubic units: 2 × 3 × 4 = 24 and 1 × 4 × 6 = 24.
3. Check the choice: The correct choice is $2 \times 3 \times 4$ and $1 \times 4 \times 6$.

Correct answer: C

The correct answer is 27 cubic units.

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: Multiply the three equal side lengths: 3 × 3 × 3 = 27 cubic units.
3. Check the choice: The correct choice is 27 cubic units.

Correct answer: D

The correct answer is Three layers of 24 cubic units, for 72 cubic units total.

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: Each 6-by-4 layer has 24 cubic-unit positions, and 3 layers make 72 cubic units.
3. Check the choice: The correct choice is Three layers of 24 cubic units, for 72 cubic units total.

Correct answer: A

The correct answer is The 2-by-5-by-4 prism.

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: The first volume is 40 cubic units and the second is 36 cubic units, so the first is greater.
3. Check the choice: The correct choice is The 2-by-5-by-4 prism.

Correct answer: B

The correct answer is A cube that is 1 unit long, 1 unit wide, and 1 unit high.

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: A cubic unit is a unit cube with one unit in each of its three dimensions.
3. Check the choice: The correct choice is A cube that is 1 unit long, 1 unit wide, and 1 unit high.

Correct answer: C

The correct answer is The volume doubles..

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: Since volume is l × w × h, doubling only length doubles the product.
3. Check the choice: The correct choice is The volume doubles..

Correct answer: D

The correct answer is Square feet.

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: Square feet measure area; volume measurements use cubic units.
3. Check the choice: The correct choice is Square feet.

Correct answer: A

The correct answer is 4 layers.

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: Divide the total cubes by cubes per layer: 24 ÷ 6 = 4 layers.
3. Check the choice: The correct choice is 4 layers.

Correct answer: B

The correct answer is 64 cubic units.

1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
2. Use the volume model: Multiply base area by height: 16 × 4 = 64 cubic units.
3. Check the choice: The correct choice is 64 cubic units.