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

$1\frac{3}{4}=\frac{4\times1 + 3}{4}=\frac{7}{4}$

Step2: Recall volume formula for rectangular prism

The volume $V$ of a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height. Here, $l=\frac{7}{4}$ mm, $w = \frac{2}{3}$ mm, $h=\frac{2}{3}$ mm.

Step3: Calculate the volume

$V=\frac{7}{4}\times\frac{2}{3}\times\frac{2}{3}=\frac{7\times2\times2}{4\times3\times3}=\frac{28}{36}=\frac{7}{9}$

Answer:

$\frac{7}{9}$