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: Recall volume formula

The volume $V$ of a rectangular - prism is given by $V = l\times w\times h$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Identify dimensions

Here, $l=\frac{9}{10}$ mm, $w = \frac{2}{3}$ mm, and $h=\frac{5}{8}$ mm.

Step3: Calculate the volume

$V=\frac{9}{10}\times\frac{2}{3}\times\frac{5}{8}$
First, $\frac{9}{10}\times\frac{2}{3}=\frac{9\times2}{10\times3}=\frac{18}{30}=\frac{3}{5}$
Then, $\frac{3}{5}\times\frac{5}{8}=\frac{3\times5}{5\times8}=\frac{3}{8}$ (mm³)

Answer:

$\frac{3}{8}$