Question

find the volume of the rectangular prism. 2\frac{2}{3} m 1\frac{3}{5} m 1\frac{1}{8} m write your answer as a whole number, a proper fraction, or a mixed number. cubic meters

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{8}=\frac{1\times8 + 1}{8}=\frac{9}{8}$; $1\frac{3}{5}=\frac{1\times5+3}{5}=\frac{8}{5}$; $2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{8}{3}$

Step2: Use the volume formula for a rectangular prism

The volume formula of a rectangular prism is $V = l\times w\times h$. Here, $l=\frac{9}{8}$, $w = \frac{8}{5}$, $h=\frac{8}{3}$. Then $V=\frac{9}{8}\times\frac{8}{5}\times\frac{8}{3}$

Step3: Simplify the product of the fractions

$\frac{9}{8}\times\frac{8}{5}\times\frac{8}{3}=\frac{9\times8\times8}{8\times5\times3}=\frac{9\times8}{5\times3}=\frac{72}{15}=\frac{24}{5}=4\frac{4}{5}$

Answer:

$4\frac{4}{5}$