Question

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

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. Here $l = 2$ in, $w=2\frac{1}{3}$ in and $h=\frac{4}{5}$ in.

Step2: Convert mixed - number to improper fraction

$2\frac{1}{3}=\frac{2\times3 + 1}{3}=\frac{7}{3}$ in.

Step3: Calculate the volume

$V=2\times\frac{7}{3}\times\frac{4}{5}=\frac{2\times7\times4}{3\times5}=\frac{56}{15}$ in³.

Step4: Convert to mixed - number

$\frac{56}{15}=3\frac{11}{15}$ in³.

Answer:

$3\frac{11}{15}$