Goal:

Find Volume by Counting Cubic Units

Understanding Volume

Volume is measured by using cubes of equal sizes.

A cube measuring 1 unit on each edge has a volume of 1 cubic unit.

  Volume = 1 unit³

Counting the total number of cubes that fill the space will result in the volume of a solid figure.

Modeling Volume of Rectangular Prisms

1. Use unit cubes to build a rectangular prism.

2. Count the number of cubes used to build the prism.

The rectangular prism is made up of 12 unit cubes. 

3.  Record the volume

That means the figure has a volume of 12 cubic units.

Practice

Find the volume of each prism.

1. What is the volume of the solid below?

2.  Each individual cubic unit below measures 1 cubic foot.  What is the volume of the solid figure?

 3.  The side length of each individual cubic unit below is 1 cm.  What is the volume of the solid figure?

4.  Find the volume in cubic units.

5.  This block is made up of 3 unit cubes.

How many unit cubes make up the volume of this structure?

Answers

1.  27 units³

2.  60 ft³

3.  48 cm³

4.  20 units³

5.  12