Question

what is the volume of the cube shown? 2 1/4 in. 11 25/64 in.³ 8 1/64 in.³ 6 3/4 in.³ 30 3/8 in.³

Explanation:

Step1: Convert mixed - number to improper fraction

$2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}$

Step2: Apply volume formula for cube

$V = s^3$, where $s=\frac{9}{4}$. So $V=(\frac{9}{4})^3=\frac{9^3}{4^3}=\frac{729}{64}$

Step3: Convert improper fraction to mixed - number

$\frac{729}{64}=11\frac{25}{64}$

Answer:

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