Grade: Grade 5 Subject: Mathematics Unit: Volume Lesson: 6 of 6 SAT: Geometry + Trigonometry ACT: Math

Volume Unit Quiz

Test your understanding of volume calculations!

Instructions

Solve each problem on paper first. Then click "Show Answer" to check your work.

Quiz Questions

Question 1: Basic Volume

Find the volume: length = 5 cm, width = 3 cm, height = 4 cm
Show Answer

Answer: 60 cubic cm

V = 5 x 3 x 4 = 60 cm³

Question 2: Cube Volume

Find the volume of a cube with sides of 6 inches.
Show Answer

Answer: 216 cubic inches

V = 6 x 6 x 6 = 216 in³

Question 3: Word Problem

A fish tank is 24 inches long, 12 inches wide, and 15 inches tall. What is its volume?
Show Answer

Answer: 4,320 cubic inches

V = 24 x 12 x 15 = 4,320 in³

Question 4: Base Area Method

A prism has a base area of 36 square feet and a height of 8 feet. Find the volume.
Show Answer

Answer: 288 cubic feet

V = Base Area x Height = 36 x 8 = 288 ft³

Question 5: Composite Figure

An L-shaped solid is made of two rectangular prisms: one is 4x2x3 and the other is 2x4x3. What is the total volume?
Show Answer

Answer: 48 cubic units

Prism 1: 4 x 2 x 3 = 24

Prism 2: 2 x 4 x 3 = 24

Total: 24 + 24 = 48 cubic units

Question 6: Finding a Missing Dimension

A box has a volume of 120 cubic meters. If the length is 10 m and width is 4 m, what is the height?
Show Answer

Answer: 3 meters

V = l x w x h

120 = 10 x 4 x h

120 = 40 x h

h = 120 ÷ 40 = 3 m

Question 7: Comparing Volumes

Box A is 6x4x5. Box B is 8x3x5. Which has greater volume?
Show Answer

Answer: They are equal (both 120 cubic units)

Box A: 6 x 4 x 5 = 120

Box B: 8 x 3 x 5 = 120

Question 8: Unit Cubes

How many 1-inch cubes fit in a box that is 5 inches by 4 inches by 3 inches?
Show Answer

Answer: 60 cubes

V = 5 x 4 x 3 = 60 cubic inches = 60 unit cubes

Question 9: Real World Application

A shipping container is 2 m long, 1 m wide, and 1.5 m tall. What is its volume in cubic meters?
Show Answer

Answer: 3 cubic meters

V = 2 x 1 x 1.5 = 3 m³

Question 10: Complex Composite

A staircase shape has 3 steps. Each step is 2x6x2 units. What is the total volume?
Show Answer

Answer: 72 cubic units

One step: 2 x 6 x 2 = 24 cubic units

Three steps: 24 x 3 = 72 cubic units

Score Your Quiz

How Did You Do?

9-10 correct: Excellent! You have mastered volume!

7-8 correct: Great job! Review any topics you missed.

5-6 correct: Good effort! Consider reviewing the earlier lessons.

Below 5: Keep practicing! Go back through the unit lessons.

Unit Summary

Formula

V = length x width x height

Cubes

V = side x side x side

Units

Always use cubic units (cm³, in³, ft³)

Composite

Break into parts, find each volume, add together

Congratulations!

You have completed the Volume unit. Continue to the next unit!