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Video: Finding the Volume of a Rectangular Prism by Counting the Unit Cubes

Kathryn Kingham

Find the volume of the following figure.<Figure>

01:54

Video Transcript

Find the volume of the following figure.

Before we find the volume, let’s go ahead and name this figure. The figure on the left is a rectangular prism. And the volume of a rectangular prism can be found by multiplying its length times its width times the height.

On the figure, we can label the length, the width, and the height. Here’s the length, the width, and the height. Now that we have labelled each side, we need to know how many units the length, the width, and the height are? Each of these cubes would represent one unit in length. We call the length five units, the width is four units, and the height is three units.

Now I need to take our formula and plug in the values for the figure we’re using. Volume equals the length times the width times the height. Our length is five units, width of four units, and the height of three units. We multiply these three values together. Five times four times three, which equals sixty. And because we’re multiplying and we’re dealing with volume, we have our units times our units times our units. This results in units cubed.

The volume of our figure is 60 units cubed.