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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

4. 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

A rectangular room is 12 feet long and 10 feet wide. What floor area must be covered?

Please select an answer first.

Correct answer: A

The correct answer is 120120 square feet.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: A=12×10=120A = 12 \times 10 = 120 square feet.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=12×10=120A = 12 \times 10 = 120 square feet.

2. QuestionMultiple choice

A box is 6 inches long, 4 inches wide, and 3 inches high. What is its volume?

Please select an answer first.

Correct answer: B

The correct answer is 7272 cubic inches.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: V=6×4×3=72V = 6 \times 4 \times 3 = 72 cubic inches.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

V=6×4×3=72V = 6 \times 4 \times 3 = 72 cubic inches.

3. QuestionMultiple choice

A wall is 8 meters long and 3 meters high. What area must be painted?

Please select an answer first.

Correct answer: C

The correct answer is 2424 square meters.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: A=8×3=24A = 8 \times 3 = 24 square meters.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=8×3=24A = 8 \times 3 = 24 square meters.

4. QuestionMultiple choice

What is the surface area of a shipping box with dimensions 4, 3, and 2 feet?

Please select an answer first.

Correct answer: D

The correct answer is 5252 square feet.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: SA=2(4×3+4×2+3×2)=52SA = 2(4 \times 3 + 4 \times 2 + 3 \times 2) = 52 square feet.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

SA=2(4×3+4×2+3×2)=52SA = 2(4 \times 3 + 4 \times 2 + 3 \times 2) = 52 square feet.

5. QuestionMultiple choice

A triangular garden has base 10 meters and height 8 meters. What is its area?

Please select an answer first.

Correct answer: A

The correct answer is 4040 square meters.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: A=12×10×8=40A = \frac{1}{2} \times 10 \times 8 = 40 square meters.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=12×10×8=40A = \frac{1}{2} \times 10 \times 8 = 40 square meters.

6. QuestionMultiple choice

A pool is 20 feet long, 5 feet wide, and 2 feet deep. What is its volume?

Please select an answer first.

Correct answer: B

The correct answer is 200200 cubic feet.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: V=20×5×2=200V = 20 \times 5 \times 2 = 200 cubic feet.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

V=20×5×2=200V = 20 \times 5 \times 2 = 200 cubic feet.

7. QuestionMultiple choice

What is the volume of a cube-shaped container with side length 3 feet?

Please select an answer first.

Correct answer: C

The correct answer is 2727 cubic feet.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: V=33=27V = 3^3 = 27 cubic feet.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

V=33=27V = 3^3 = 27 cubic feet.

8. QuestionMultiple choice

A rectangular carpet is 9 feet long and 7 feet wide. What area does it cover?

Please select an answer first.

Correct answer: D

The correct answer is 6363 square feet.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: A=9×7=63A = 9 \times 7 = 63 square feet.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=9×7=63A = 9 \times 7 = 63 square feet.

9. QuestionMultiple choice

A parallelogram banner has base 12 inches and height 5 inches. What is its area?

Please select an answer first.

Correct answer: A

The correct answer is 6060 square inches.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: A=bh=12×5=60A = bh = 12 \times 5 = 60 square inches.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=bh=12×5=60A = bh = 12 \times 5 = 60 square inches.

10. QuestionMultiple choice

An aquarium is 8 feet long, 4 feet wide, and 3 feet high. What is its volume?

Please select an answer first.

Correct answer: B

The correct answer is 9696 cubic feet.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: V=8×4×3=96V = 8 \times 4 \times 3 = 96 cubic feet.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

V=8×4×3=96V = 8 \times 4 \times 3 = 96 cubic feet.

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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.