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find the volume of the rectangular prism. write your answer as a whole …

Question

find the volume of the rectangular prism.
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: Substitute the values

Let $l=\frac{3}{8}$ mi, $w = \frac{5}{6}$ mi and $h=\frac{4}{5}$ mi. Then $V=\frac{3}{8}\times\frac{5}{6}\times\frac{4}{5}$.

Step3: Multiply the fractions

First, $\frac{3}{8}\times\frac{5}{6}=\frac{3\times5}{8\times6}=\frac{15}{48}=\frac{5}{16}$. Then $\frac{5}{16}\times\frac{4}{5}=\frac{5\times4}{16\times5}=\frac{20}{80}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$