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Back to Exercise: Recognize volume as an attribute of solid figures and understand concepts of volume measurement

Exercises: Introduction to Volume

Work through each section in order. Every volume answer should be reported in "cubic units."

Grade 5·20 problems·~25 min·Common Core Math - Grade 5·standard·5-md-c-3
Work through problems with immediate feedback
A

Warm-Up: Review What You Know

These problems review skills you have already learned.

1.

A rectangle is tiled with unit squares in 4 rows of 3, with no gaps or overlaps. Enter just the number of unit squares that cover it.

2.

Which of these is a solid (three-dimensional) figure, not a flat (two-dimensional) shape?

3.

What is 4 × 3?

B

Fluency Practice

1.

A cube has a side length of 1 unit. What is its volume?

2.

This figure is built from unit cubes with no gaps or overlaps: 5 cubes long, 1 cube wide, and 1 cube tall. Enter just the number of unit cubes.

3.

This figure is packed with unit cubes, no gaps or overlaps: a single flat layer, 4 cubes long and 3 cubes wide. Enter just the number of unit cubes.

4.

This figure is packed with unit cubes, no gaps or overlaps: 3 cubes long, 3 cubes wide, and 2 cubes tall (two identical layers, stacked). Enter just the number of unit cubes.

5.

This figure is packed with unit cubes, no gaps or overlaps: 4 cubes long, 2 cubes wide, and 3 cubes tall. Its volume is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲     ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   (write the number, then the unit).

number:
unit:

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