NumicornNumicornLearn, solve, progress

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.

Select a test

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

5. 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 difference between area and perimeter?

Please select an answer first.

Correct answer: A

The correct answer is Area measures the inside of a two-dimensional figure, while perimeter measures its boundary..

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Area uses square units for the region inside a figure; perimeter uses linear units around the figure.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Area uses square units for the region inside a figure; perimeter uses linear units around the figure.

2. QuestionMultiple choice

Which units are appropriate for surface area?

Please select an answer first.

Correct answer: B

The correct answer is Square units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Surface area is the total of the areas of the faces, so it uses square units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Surface area is the total of the areas of the faces, so it uses square units.

3. QuestionMultiple choice

Which units are appropriate for volume?

Please select an answer first.

Correct answer: C

The correct answer is Cubic units.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Volume measures the amount of three-dimensional space, so it uses cubic units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Volume measures the amount of three-dimensional space, so it uses cubic units.

4. QuestionMultiple choice

If every dimension of a rectangular prism is doubled, how does its volume change?

Please select an answer first.

Correct answer: D

The correct answer is The volume becomes 8 times as large..

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Volume uses three dimensions: 2l×2w×2h=8lwh2l \times 2w \times 2h = 8lwh.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Volume uses three dimensions: 2l×2w×2h=8lwh2l \times 2w \times 2h = 8lwh.

5. QuestionMultiple choice

Which formula finds the volume of a rectangular prism?

Please select an answer first.

Correct answer: A

The correct answer is V=lwhV = lwh.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Multiply length, width, and height: V=lwhV = lwh.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Multiply length, width, and height: V=lwhV = lwh.

6. QuestionMultiple choice

A prism has volume 96 cubic units, length 8 units, and width 3 units. What is its height?

Please select an answer first.

Correct answer: B

The correct answer is 44 units.

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

h=96÷(8×3)=4h = 96 \div (8 \times 3) = 4 units.

7. QuestionMultiple choice

Which formula finds the surface area of a cube with side length ss?

Please select an answer first.

Correct answer: C

The correct answer is SA=6s2SA = 6s^2.

  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 square faces, each with area s2s^2, so SA=6s2SA = 6s^2.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A cube has 6 square faces, each with area s2s^2, so SA=6s2SA = 6s^2.

8. QuestionMultiple choice

Which formula finds the area of a triangle?

Please select an answer first.

Correct answer: D

The correct answer is A=12bhA = \frac{1}{2}bh.

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: A triangle has half the area of a parallelogram with the same base and height.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A triangle has half the area of a parallelogram with the same base and height.

9. QuestionMultiple choice

A student calculates a rectangular prism volume using square units. What should be corrected?

Please select an answer first.

Correct answer: A

The correct answer is The answer should use cubic units because volume is three-dimensional..

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: Multiplying three dimensions measures space in cubic units.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

Multiplying three dimensions measures space in cubic units.

10. QuestionMultiple choice

Which summary best describes Grade 6 Area, Surface Area and Volume?

Please select an answer first.

Correct answer: B

The correct answer is Area measures two-dimensional regions, surface area totals the faces of solids, and volume measures three-dimensional space..

  1. Identify the measurement: Decide whether the problem asks for area, surface area, volume, or a related dimension.
  2. Choose the formula: A complete summary connects formulas, dimensions, units, nets, solids, and real-world measurement.
  3. Check the units: Use square units for area and surface area, and cubic units for volume.

A complete summary connects formulas, dimensions, units, nets, solids, and real-world measurement.

Previous testNext test

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.