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.

2. Test

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 surface area of a cube with side length 3?

Please select an answer first.

Correct answer: A

The correct answer is 5454 square 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: A cube has 6 square faces: SA=6s2=6(32)=54SA=6s^2=6(3^2)=54.
  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.

A cube has 6 square faces: SA=6s2=6(32)=54SA=6s^2=6(3^2)=54.

2. QuestionMultiple choice

What is the surface area of a rectangular prism measuring 2 by 3 by 4?

Please select an answer first.

Correct answer: B

The correct answer is 5252 square 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 SA=2(lw+lh+wh)=2(6+8+12)=52SA=2(lw+lh+wh)=2(6+8+12)=52.
  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 SA=2(lw+lh+wh)=2(6+8+12)=52SA=2(lw+lh+wh)=2(6+8+12)=52.

3. QuestionMultiple choice

What is the surface area of a cylinder with radius 2 and height 5, including both circular bases?

Please select an answer first.

Correct answer: C

The correct answer is 28pi28\\pi square 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 SA=2pir2+2pirh=8pi+20pi=28piSA=2\\pi r^2+2\\pi rh=8\\pi+20\\pi=28\\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 SA=2pir2+2pirh=8pi+20pi=28piSA=2\\pi r^2+2\\pi rh=8\\pi+20\\pi=28\\pi.

4. QuestionMultiple choice

Which measurement describes the total area of all outside faces of a solid?

Please select an answer first.

Correct answer: D

The correct answer is Surface area.

  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: Surface area is the sum of the areas of all exterior faces and curved surfaces.
  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.

Surface area is the sum of the areas of all exterior faces and curved surfaces.

5. QuestionMultiple choice

What is the surface area of a cube with side length 5?

Please select an answer first.

Correct answer: A

The correct answer is 150150 square 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 SA=6(52)=150SA=6(5^2)=150 square units.
  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 SA=6(52)=150SA=6(5^2)=150 square units.

6. QuestionMultiple choice

A box has dimensions 1, 2, and 3. What is the area of one face measuring 2 by 3?

Please select an answer first.

Correct answer: B

The correct answer is 66 square 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: The face area is 2(3)=62(3)=6 square units.
  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 face area is 2(3)=62(3)=6 square units.

7. QuestionMultiple choice

A figure is dilated by scale factor 2. By what factor does its surface area change?

Please select an answer first.

Correct answer: C

The correct answer is 44.

  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: Surface area scales by k2=22=4k^2=2^2=4.
  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.

Surface area scales by k2=22=4k^2=2^2=4.

8. QuestionMultiple choice

What is the surface area of a rectangular prism with length 5, width 2, and height 3?

Please select an answer first.

Correct answer: D

The correct answer is 6262 square 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 SA=2(5cdot2+5cdot3+2cdot3)=2(10+15+6)=62SA=2(5\\cdot2+5\\cdot3+2\\cdot3)=2(10+15+6)=62.
  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 SA=2(5cdot2+5cdot3+2cdot3)=2(10+15+6)=62SA=2(5\\cdot2+5\\cdot3+2\\cdot3)=2(10+15+6)=62.

9. QuestionMultiple choice

What is the area of one face of a cube with side length 7?

Please select an answer first.

Correct answer: A

The correct answer is 4949 square 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: One face is a square: 72=497^2=49 square units.
  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.

One face is a square: 72=497^2=49 square units.

10. QuestionMultiple choice

What is the main difference between volume and surface area?

Please select an answer first.

Correct answer: B

The correct answer is Volume measures space inside; surface area measures outside area..

  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 uses cubic units for interior space, while surface area uses square units for the exterior.
  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 uses cubic units for interior space, while surface area uses square units for the exterior.