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Back to Exercise: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume

Exercises: Volume Formulas and Composite Figures

Work through each section in order. Use V = l × w × h or V = B × h (where B is the area of the base) as needed, and always label your answer with cubic units.

Grade 5·21 problems·~27 min·Common Core Math - Grade 5·standard·5-md-c-5
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A

Warm-Up: Review What You Know

These problems review skills you have already learned.

1.

What is the area of a rectangle that is 5 units long and 3 units wide? Enter just the number of square units.

2.

A flat figure is made of two non-overlapping rectangles with areas 12 square units and 8 square units. What is the total area?

3.

What is 4 × 3 × 2?

B

Fluency Practice

1.

A right rectangular prism has length 6 in, width 4 in, and height 3 in. Use V = l × w × h to find its volume.

2.

This figure is packed with unit cubes, no gaps or overlaps, 3 cubes long, 2 cubes wide, and 4 cubes tall. Use V = l × w × h to find the volume, and check that it matches the cubes shown.

3.

A prism has a base area of 15 square inches and a height of 7 inches. Use V = B × h to find its volume.

4.

A right rectangular prism has length 8 cm, width 5 cm, and height 2 cm. Find its volume.

5.

A prism has a base area of 24 square feet and a height of 5 feet. Use V = B × h to find its volume.

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