Question

find the volume of the rectangular prism. 2 mi. $\frac{5}{9}$ mi. $1\frac{1}{5}$ mi. write your answer as a whole number, a proper fraction, or a mixed number. cubic miles

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.

Step2: Identify dimensions

Here, $l = 1\frac{1}{5}=\frac{6}{5}$ mi, $w=\frac{5}{9}$ mi and $h = 2$ mi.

Step3: Calculate volume

$V=\frac{6}{5}\times\frac{5}{9}\times2$. First, $\frac{6}{5}\times\frac{5}{9}=\frac{6\times5}{5\times9}=\frac{6}{9}=\frac{2}{3}$. Then, $\frac{2}{3}\times2=\frac{4}{3}=1\frac{1}{3}$ cubic miles.

Answer:

$1\frac{1}{3}$