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Volume of 3D Figures Practice Tests

These Grade 8 Math practice tests cover volume and surface area for prisms, cubes, cylinders, cones, spheres, and real-world solids.

Skills covered

  • Finding volume of rectangular and triangular prisms
  • Using cylinder, cone, and sphere formulas
  • Finding surface area of cubes, prisms, and cylinders
  • Converting cubic units and interpreting measurements
  • Applying scale factors to length, surface area, and volume

How to use these practice tests

Identify the solid, write the appropriate formula, substitute the measurements, and check whether the answer should use square units or cubic units. Keep \(\\pi\) in exact form unless a decimal is requested.

For more Grade 8 Math practice, return to the Grade 8 Math category.

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Grade 8 Volume of 3D Figures Practice Tests

Practice Grade 8 Math questions about volume, surface area, prisms, cylinders, cones, spheres, unit conversions, scaling, and real-world solids.

Choose the best answer for each question. Select the correct formula, substitute measurements carefully, and include square or cubic units.

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

What is the volume of a cylinder with radius 4 and height 3?

Please select an answer first.

Correct answer: A

The correct answer is 48pi48\\pi cubic units.

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: Use V=pi(42)(3)=48piV=\\pi(4^2)(3)=48\\pi.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Use V=pi(42)(3)=48piV=\\pi(4^2)(3)=48\\pi.

2. QuestionMultiple choice

A cylinder has diameter 10. What is its radius?

Please select an answer first.

Correct answer: B

The correct answer is 55 units.

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: Radius is half the diameter: 10div2=510\\div2=5.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Radius is half the diameter: 10div2=510\\div2=5.

3. QuestionMultiple choice

A cylinder has radius 5 and height 4. What is its volume?

Please select an answer first.

Correct answer: C

The correct answer is 100pi100\\pi cubic units.

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: Use V=pi(52)(4)=100piV=\\pi(5^2)(4)=100\\pi.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Use V=pi(52)(4)=100piV=\\pi(5^2)(4)=100\\pi.

4. QuestionMultiple choice

Which formula gives the volume of a sphere with radius r?

Please select an answer first.

Correct answer: D

The correct answer is V=frac43pir3V=\\frac{4}{3}\\pi r^3.

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: The sphere volume formula is V=frac43pir3V=\\frac{4}{3}\\pi r^3.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

The sphere volume formula is V=frac43pir3V=\\frac{4}{3}\\pi r^3.

5. QuestionMultiple choice

What is the volume of a cone with radius 3 and height 4?

Please select an answer first.

Correct answer: A

The correct answer is 12pi12\\pi cubic units.

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: Use V=frac13pi(32)(4)=12piV=\\frac{1}{3}\\pi(3^2)(4)=12\\pi.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Use V=frac13pi(32)(4)=12piV=\\frac{1}{3}\\pi(3^2)(4)=12\\pi.

6. QuestionMultiple choice

A cylinder has volume 72pi72\\pi and radius 3. What is its height?

Please select an answer first.

Correct answer: B

The correct answer is 88 units.

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: Solve 72pi=pi(32)h=9pih72\\pi=\\pi(3^2)h=9\\pi h, so h=8h=8.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Solve 72pi=pi(32)h=9pih72\\pi=\\pi(3^2)h=9\\pi h, so h=8h=8.

7. QuestionMultiple choice

A cone and a cylinder have the same base area and height. How does the cone volume compare with the cylinder volume?

Please select an answer first.

Correct answer: C

The correct answer is The cone has one-third the volume..

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: The cone formula is V=frac13BhV=\\frac{1}{3}Bh, while the cylinder formula is V=BhV=Bh.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

The cone formula is V=frac13BhV=\\frac{1}{3}Bh, while the cylinder formula is V=BhV=Bh.

8. QuestionMultiple choice

What is the volume of a sphere with radius 3?

Please select an answer first.

Correct answer: D

The correct answer is 36pi36\\pi cubic units.

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: Use V=frac43pi(33)=36piV=\\frac{4}{3}\\pi(3^3)=36\\pi.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Use V=frac43pi(33)=36piV=\\frac{4}{3}\\pi(3^3)=36\\pi.

9. QuestionMultiple choice

Which unit is appropriate for the volume of a cylinder?

Please select an answer first.

Correct answer: A

The correct answer is Cubic centimeters.

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: Volume is three-dimensional, so cubic length units are appropriate.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Volume is three-dimensional, so cubic length units are appropriate.

10. QuestionMultiple choice

Two cylinders have the same radius. Cylinder B has twice the height of Cylinder A. How do their volumes compare?

Please select an answer first.

Correct answer: B

The correct answer is Cylinder B has twice the volume..

  1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
  2. Apply the volume or surface-area formula: With the same radius, volume is proportional to height, so doubling height doubles volume.
  3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

With the same radius, volume is proportional to height, so doubling height doubles volume.

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