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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

1. 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 area of a rectangle with length 8 units and width 3 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: Use A=l×wA = l \times w: 8×3=248 \times 3 = 24 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Use A=l×wA = l \times w: 8×3=248 \times 3 = 24 square units.

2. QuestionMultiple choice

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

Please select an answer first.

Correct answer: B

The correct answer is 2525 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 A=s2A = s^2: 52=255^2 = 25 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Use A=s2A = s^2: 52=255^2 = 25 square units.

3. QuestionMultiple choice

What is the area of a triangle with base 10 units and height 6 units?

Please select an answer first.

Correct answer: C

The correct answer is 3030 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 A=12bhA = \frac{1}{2}bh: 12×10×6=30\frac{1}{2} \times 10 \times 6 = 30 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Use A=12bhA = \frac{1}{2}bh: 12×10×6=30\frac{1}{2} \times 10 \times 6 = 30 square units.

4. QuestionMultiple choice

What is the area of a parallelogram with base 9 units and height 4 units?

Please select an answer first.

Correct answer: D

The correct answer is 3636 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 A=bhA = bh: 9×4=369 \times 4 = 36 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Use A=bhA = bh: 9×4=369 \times 4 = 36 square units.

5. QuestionMultiple choice

A rectangle is 5 feet long and 4 feet wide. What is its area?

Please select an answer first.

Correct answer: A

The correct answer is 2020 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=5×4=20A = 5 \times 4 = 20 square feet.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=5×4=20A = 5 \times 4 = 20 square feet.

6. QuestionMultiple choice

What is the area of a rectangle with length 12 meters and width 7 meters?

Please select an answer first.

Correct answer: B

The correct answer is 8484 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=12×7=84A = 12 \times 7 = 84 square meters.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=12×7=84A = 12 \times 7 = 84 square meters.

7. QuestionMultiple choice

What is the area of a triangle with base 8 inches and height 5 inches?

Please select an answer first.

Correct answer: C

The correct answer is 2020 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=12×8×5=20A = \frac{1}{2} \times 8 \times 5 = 20 square inches.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=12×8×5=20A = \frac{1}{2} \times 8 \times 5 = 20 square inches.

8. QuestionMultiple choice

What is the area of a trapezoid with bases 6 units and 10 units and height 4 units?

Please select an answer first.

Correct answer: D

The correct answer is 3232 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 A=12(b1+b2)hA = \frac{1}{2}(b_1+b_2)h: 12(6+10)×4=32\frac{1}{2}(6+10) \times 4 = 32.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Use A=12(b1+b2)hA = \frac{1}{2}(b_1+b_2)h: 12(6+10)×4=32\frac{1}{2}(6+10) \times 4 = 32.

9. QuestionMultiple choice

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

Please select an answer first.

Correct answer: A

The correct answer is 4949 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=72=49A = 7^2 = 49 square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A=72=49A = 7^2 = 49 square units.

10. QuestionMultiple choice

A rectangle has area 45 square centimeters and length 9 centimeters. What is its width?

Please select an answer first.

Correct answer: B

The correct answer is 55 centimeters.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Use w=A÷l=45÷9=5w = A \div l = 45 \div 9 = 5 centimeters.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Use w=A÷l=45÷9=5w = A \div l = 45 \div 9 = 5 centimeters.

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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.