Question

3 yd. $\frac{4}{5}$ yd. $2\frac{1}{4}$ yd. write your answer as a whole number, a proper fraction, or a mixed number. cubic yards

Explanation:

Step1: Convert mixed - number to improper fraction

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

Step2: Use volume formula for rectangular prism

The volume $V$ of a rectangular prism is $V = l\times w\times h$. Here, $l=\frac{4}{5}$, $w = \frac{9}{4}$, and $h = 3$. So $V=\frac{4}{5}\times\frac{9}{4}\times3$.

Step3: Simplify the product

First, $\frac{4}{5}\times\frac{9}{4}=\frac{4\times9}{5\times4}=\frac{9}{5}$. Then $\frac{9}{5}\times3=\frac{9\times3}{5}=\frac{27}{5}=5\frac{2}{5}$

Answer:

$5\frac{2}{5}$