Grade 5 Math · Volume of Rectangular Prisms

Grade 5 Volume of Rectangular Prisms Practice Test

Build Grade 5 Math skills with five 10-question practice tests on volume formulas, unit cubes, rectangular prism dimensions, missing measurements, and real-world problems.

Volume of Rectangular Prisms Practice Tests

These Grade 5 Math practice tests help students find the volume of rectangular prisms using unit cubes and the formula V = length × width × height. Students practice calculating volume, finding missing dimensions, comparing prisms, and solving real-world capacity problems.

Skills covered

  • Understanding volume as the space inside a solid
  • Counting unit cubes and layers
  • Using the rectangular-prism volume formula
  • Reporting answers in cubic units
  • Finding a missing length, width, or height
  • Solving and explaining volume word problems
  • Distinguishing square units for area from cubic units for volume

How to use these practice tests

Identify the length, width, and height first. Multiply the three measurements, or multiply the base area by the height. Keep all units consistent and label the final answer in cubic units.

For more Grade 5 Math practice, return to the Grade 5 Math category.

3. Test

Grade 5 Volume of Rectangular Prisms Practice Tests

A 10-question Grade 5 Math practice test on volume formulas, unit cubes, rectangular prism dimensions, missing measurements, and real-world volume problems.

Use V = length × width × height. Keep measurements in the same unit and report volume in cubic units.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A prism has a volume of 24 cubic units, length 4 units, and width 3 units. What is its height?

Please select an answer first.

Correct answer: A

The correct answer is 2 units.

  1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
  2. Use the volume model: The base is 4 × 3 = 12 square units, and 24 ÷ 12 = 2 units.
  3. Check the choice: The correct choice is 2 units.

The base is 4 × 3 = 12 square units, and 24 ÷ 12 = 2 units.

2. QuestionMultiple choice

A prism has a volume of 60 cubic units, length 5 units, and width 3 units. What is its height?

Please select an answer first.

Correct answer: B

The correct answer is 4 units.

  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 volume by the base area: 60 ÷ (5 × 3) = 4 units.
  3. Check the choice: The correct choice is 4 units.

Divide the volume by the base area: 60 ÷ (5 × 3) = 4 units.

3. QuestionMultiple choice

A prism has a volume of 72 cubic units, length 6 units, and width 3 units. What is its height?

Please select an answer first.

Correct answer: C

The correct answer is 4 units.

  1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
  2. Use the volume model: The base area is 6 × 3 = 18 square units, so 72 ÷ 18 = 4 units.
  3. Check the choice: The correct choice is 4 units.

The base area is 6 × 3 = 18 square units, so 72 ÷ 18 = 4 units.

4. QuestionMultiple choice

A prism has volume 48 cubic units, length 4 units, and width 3 units. What height is missing?

Please select an answer first.

Correct answer: D

The correct answer is 4 units.

  1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
  2. Use the volume model: Use 48 ÷ (4 × 3) = 48 ÷ 12 = 4 units.
  3. Check the choice: The correct choice is 4 units.

Use 48 ÷ (4 × 3) = 48 ÷ 12 = 4 units.

5. QuestionMultiple choice

A rectangular prism has a base area of 12 square units and a height of 3 units. What is its volume?

Please select an answer first.

Correct answer: A

The correct answer is 36 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: Volume equals base area × height: 12 × 3 = 36 cubic units.
  3. Check the choice: The correct choice is 36 cubic units.

Volume equals base area × height: 12 × 3 = 36 cubic units.

6. QuestionMultiple choice

A prism has volume 90 cubic units, length 5 units, and width 3 units. What is its height?

Please select an answer first.

Correct answer: B

The correct answer is 6 units.

  1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
  2. Use the volume model: The base area is 15 square units, and 90 ÷ 15 = 6 units.
  3. Check the choice: The correct choice is 6 units.

The base area is 15 square units, and 90 ÷ 15 = 6 units.

7. QuestionMultiple choice

A rectangular prism has a 4-unit by 2-unit base and a height of 5 units. What is its volume?

Please select an answer first.

Correct answer: C

The correct answer is 40 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: Find the base area 4 × 2 = 8, then 8 × 5 = 40 cubic units.
  3. Check the choice: The correct choice is 40 cubic units.

Find the base area 4 × 2 = 8, then 8 × 5 = 40 cubic units.

8. QuestionMultiple choice

A prism has volume 100 cubic units, length 10 units, and width 2 units. What is its height?

Please select an answer first.

Correct answer: D

The correct answer is 5 units.

  1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
  2. Use the volume model: The base area is 10 × 2 = 20, so 100 ÷ 20 = 5 units.
  3. Check the choice: The correct choice is 5 units.

The base area is 10 × 2 = 20, so 100 ÷ 20 = 5 units.

9. QuestionMultiple choice

A prism measures 7 units by 2 units by 3 units. If its height doubles, what is the new volume?

Please select an answer first.

Correct answer: A

The correct answer is 84 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: The original volume is 42 cubic units; doubling the height doubles the volume to 84.
  3. Check the choice: The correct choice is 84 cubic units.

The original volume is 42 cubic units; doubling the height doubles the volume to 84.

10. QuestionMultiple choice

A prism has volume 64 cubic units and two dimensions of 2 units and 4 units. What is the third dimension?

Please select an answer first.

Correct answer: B

The correct answer is 8 units.

  1. Identify the dimensions: Read the length, width, and height and keep all measurements in the same unit.
  2. Use the volume model: The known base is 2 × 4 = 8, and 64 ÷ 8 = 8 units.
  3. Check the choice: The correct choice is 8 units.

The known base is 2 × 4 = 8, and 64 ÷ 8 = 8 units.

Frequently asked questions about Grade 5 Volume of Rectangular Prisms

What is the volume formula for a rectangular prism?

Multiply length × width × height. The result is the volume in cubic units.

Why does volume use cubic units?

A solid extends in three dimensions, so its space is measured with unit cubes such as cubic inches or cubic meters.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 5 Volume of Rectangular Prisms questions in total.