Question

find the volume of the rectangular prism. write your answer as a whole number, a proper fraction, or a mixed number. cubic millimeters

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{1}{8}=\frac{8\times1 + 1}{8}=\frac{9}{8}$

Step2: Apply volume formula for rectangular prism

The volume formula of a rectangular prism is $V = l\times w\times h$, where $l=\frac{9}{8}$ mm, $w = \frac{4}{5}$ mm, and $h=\frac{3}{5}$ mm. So $V=\frac{9}{8}\times\frac{4}{5}\times\frac{3}{5}$.

Step3: Multiply the fractions

First, $\frac{9}{8}\times\frac{4}{5}=\frac{9\times4}{8\times5}=\frac{36}{40}=\frac{9}{10}$. Then $\frac{9}{10}\times\frac{3}{5}=\frac{9\times3}{10\times5}=\frac{27}{50}$

Answer:

$\frac{27}{50}$