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Back to Exercise: Measure volumes by counting unit cubes

Exercises: Measuring Volume by Counting Unit Cubes

Work through each section in order. Remember: volume counts every cube in a figure, including cubes hidden from view, and every answer needs the correct unit.

Grade 5·23 problems·~28 min·Common Core Math - Grade 5·standard·5-md-c-4
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A

Warm-Up: Review What You Know

These problems review skills you have already learned.

1.

A figure is packed with unit cubes, no gaps or overlaps: a single flat layer, 3 cubes long and 2 cubes wide (all cubes visible). Enter just the number of unit cubes.

2.

Which measurement uses "cubic units," not "square units"?

3.

What is 8 × 3?

B

Fluency Practice

1.

Count every unit cube in this figure, including any hidden from view. Enter just the number.

2.

Using the layer-counting strategy, find the total number of unit cubes in this figure: one layer has 4 × 2 cubes, and there are 3 identical layers. Enter just the number.

3.

This L-shaped figure is packed with unit cubes, no gaps or overlaps. One section is 3 cubes long, 2 cubes wide, 2 cubes tall. The other section is 2 cubes long, 1 cube wide, 2 cubes tall. Count every cube, including hidden ones, and enter the total.

4.

This step-shaped figure is packed with unit cubes, no gaps or overlaps. The bottom section is 4 cubes long, 3 cubes wide, 1 cube tall. The top section is 2 cubes long, 3 cubes wide, 1 cube tall. Count every cube, including hidden ones, and enter the total.

5.

This figure is built from cubes with edge length 1 centimeter, arranged 3 cubes long, 2 cubes wide, and 2 cubes tall, no gaps or overlaps. What is its volume in cubic centimeters?

6.

This figure is built from cubes with edge length 1 inch, arranged 2 cubes long, 2 cubes wide, and 4 cubes tall, no gaps or overlaps. What is its volume in cubic inches?

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