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Grade 6 Math · Area, Surface Area and Volume

Grade 6 Area, Surface Area and Volume Practice Test

Build Grade 6 Math skills with five 10-question practice tests on area, surface area, volume, geometric formulas, units, and real-world measurement.

Area, Surface Area and Volume Practice Tests

These Grade 6 Math practice tests help students measure two-dimensional regions and three-dimensional solids. Students practice rectangle, square, triangle, parallelogram, and trapezoid area, surface area of cubes and rectangular prisms, volume formulas, missing dimensions, nets, square and cubic units, and real-world measurement.

Skills covered

  • Finding the area of rectangles, squares, triangles, parallelograms, and trapezoids
  • Distinguishing area from perimeter
  • Finding surface area using faces and nets
  • Finding the volume of cubes and rectangular prisms
  • Solving for missing dimensions
  • Using square units for area and cubic units for volume
  • Applying measurement formulas to rooms, boxes, pools, banners, gardens, and aquariums

How to use these practice tests

First identify whether the problem asks for area, surface area, or volume. Choose the formula, substitute the dimensions with matching units, calculate, and label the answer. Remember that area and surface area use square units, while volume uses cubic units.

For more Grade 6 Math practice, return to the Grade 6 Math category.

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5 Tests
1. Test2. Test3. Test4. Test5. Test

2. Test

Grade 6 Area, Surface Area and Volume Practice Tests

A 10-question Grade 6 Math practice test on area, perimeter, triangle and parallelogram area, surface area, volume, formulas, units, and real-world measurement.

Identify the measurement, choose the correct formula, substitute the dimensions, calculate carefully, and label the answer with 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 units?

Please select an answer first.

Correct answer: A

The correct answer is 5454 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: A cube has 6 congruent square faces: SA=6s2=6×32=54SA = 6s^2 = 6 \times 3^2 = 54.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A cube has 6 congruent square faces: SA=6s2=6×32=54SA = 6s^2 = 6 \times 3^2 = 54.

2. QuestionMultiple choice

What is the surface area of a rectangular prism with dimensions 2, 3, and 4 units?

Please select an answer first.

Correct answer: B

The correct answer is 5252 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Use SA=2lw+2lh+2whSA = 2lw + 2lh + 2wh: 12+16+24=5212 + 16 + 24 = 52 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Use SA=2lw+2lh+2whSA = 2lw + 2lh + 2wh: 12+16+24=5212 + 16 + 24 = 52 square units.

3. QuestionMultiple choice

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

Please select an answer first.

Correct answer: C

The correct answer is 150150 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: SA=6×52=6×25=150SA = 6 \times 5^2 = 6 \times 25 = 150 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

SA=6×52=6×25=150SA = 6 \times 5^2 = 6 \times 25 = 150 square units.

4. QuestionMultiple choice

What is the surface area of a rectangular prism with length 6, width 2, and height 3 units?

Please select an answer first.

Correct answer: D

The correct answer is 7272 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: SA=2(6×2+6×3+2×3)=72SA = 2(6 \times 2 + 6 \times 3 + 2 \times 3) = 72 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

SA=2(6×2+6×3+2×3)=72SA = 2(6 \times 2 + 6 \times 3 + 2 \times 3) = 72 square units.

5. QuestionMultiple choice

A cube net has 6 square faces, each with side length 4 units. What is the total surface area?

Please select an answer first.

Correct answer: A

The correct answer is 9696 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Each face has area 42=164^2 = 16. Six faces give 6×16=966 \times 16 = 96 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Each face has area 42=164^2 = 16. Six faces give 6×16=966 \times 16 = 96 square units.

6. QuestionMultiple choice

What is the surface area of a rectangular prism with dimensions 5, 4, and 2 units?

Please select an answer first.

Correct answer: B

The correct answer is 7676 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: SA=2(5×4+5×2+4×2)=76SA = 2(5 \times 4 + 5 \times 2 + 4 \times 2) = 76 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

SA=2(5×4+5×2+4×2)=76SA = 2(5 \times 4 + 5 \times 2 + 4 \times 2) = 76 square units.

7. QuestionMultiple choice

What is the surface area of a cube with side length 7 units?

Please select an answer first.

Correct answer: C

The correct answer is 294294 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: SA=6×72=6×49=294SA = 6 \times 7^2 = 6 \times 49 = 294 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

SA=6×72=6×49=294SA = 6 \times 7^2 = 6 \times 49 = 294 square units.

8. QuestionMultiple choice

What is the surface area of a rectangular prism with dimensions 10, 3, and 2 units?

Please select an answer first.

Correct answer: D

The correct answer is 112112 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: SA=2(10×3+10×2+3×2)=112SA = 2(10 \times 3 + 10 \times 2 + 3 \times 2) = 112 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

SA=2(10×3+10×2+3×2)=112SA = 2(10 \times 3 + 10 \times 2 + 3 \times 2) = 112 square units.

9. QuestionMultiple choice

What is the surface area of a cube with side length 2 units?

Please select an answer first.

Correct answer: A

The correct answer is 2424 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: SA=6×22=24SA = 6 \times 2^2 = 24 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

SA=6×22=24SA = 6 \times 2^2 = 24 square units.

10. QuestionMultiple choice

What is the surface area of a rectangular prism with dimensions 8, 1, and 3 units?

Please select an answer first.

Correct answer: B

The correct answer is 7070 square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: SA=2(8×1+8×3+1×3)=70SA = 2(8 \times 1 + 8 \times 3 + 1 \times 3) = 70 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

SA=2(8×1+8×3+1×3)=70SA = 2(8 \times 1 + 8 \times 3 + 1 \times 3) = 70 square units.

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Frequently asked questions about Grade 6 Area, Surface Area and Volume

What topics are covered?

The page covers two-dimensional area, triangle and parallelogram formulas, surface area of solids, volume, missing dimensions, units, nets, and real-world measurement.

What is the difference between surface area and volume?

Surface area measures the total area of the outside faces of a solid, while volume measures the space inside the solid.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Area, Surface Area and Volume questions in total.