Question

what is the volume of the following rectangular prism? 3\frac{1}{3} units² 1\frac{2}{5} units volume = units³

Explanation:

Step1: Convert mixed - numbers to improper fractions

$3\frac{1}{3}=\frac{3\times3 + 1}{3}=\frac{10}{3}$, $1\frac{2}{5}=\frac{1\times5+2}{5}=\frac{7}{5}$

Step2: Use volume formula for rectangular prism

The volume $V$ of a rectangular prism is $V = B\times h$, where $B$ is the base - area and $h$ is the height. Here $B=\frac{10}{3}$ and $h = \frac{7}{5}$. So $V=\frac{10}{3}\times\frac{7}{5}$

Step3: Multiply the fractions

$\frac{10}{3}\times\frac{7}{5}=\frac{10\times7}{3\times5}=\frac{70}{15}$

Step4: Simplify the fraction

$\frac{70}{15}=\frac{14}{3}=4\frac{2}{3}$

Answer:

$4\frac{2}{3}$