Question

what is the volume of the cube shown? 2 1/4 in.

Explanation:

Step1: Recall volume formula for cube

The volume formula for a cube is $V = s^3$, where $s$ is the side - length of the cube. Here, $s = 2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}$ inches.

Step2: Calculate the volume

$V=(\frac{9}{4})^3=\frac{9^3}{4^3}=\frac{729}{64}=11\frac{25}{64}$ cubic inches.

Answer:

$11\frac{25}{64}\text{ in.}^3$