Question

find the volume of the rectangular prism. 1\frac{2}{3} ft. \frac{2}{7} ft. 1\frac{3}{4} ft. write your answer as a whole number, a proper fraction, or a mixed number. cubic feet

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}$, $1\frac{3}{4}=\frac{1\times4+3}{4}=\frac{7}{4}$

Step2: Use the volume formula for a rectangular prism

The volume formula of a rectangular prism is $V = l\times w\times h$. Here, $l=\frac{7}{4}$, $w = \frac{2}{7}$, $h=\frac{5}{3}$.
$V=\frac{7}{4}\times\frac{2}{7}\times\frac{5}{3}$

Step3: Simplify the product of the fractions

First, $\frac{7}{4}\times\frac{2}{7}=\frac{7\times2}{4\times7}=\frac{1}{2}$
Then, $\frac{1}{2}\times\frac{5}{3}=\frac{1\times5}{2\times3}=\frac{5}{6}$

Answer:

$\frac{5}{6}$