Question

find the volume of the rectangular prism. 1\frac{4}{5} mi. \frac{3}{4} mi. \frac{5}{6} mi. write your answer as a whole number, a proper fraction, or a mixed number. cubic miles

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{4}{5}=\frac{1\times5 + 4}{5}=\frac{9}{5}$

Step2: Use volume formula for rectangular prism

The volume $V$ of a rectangular prism is $V = l\times w\times h$, where $l=\frac{5}{6}$, $w=\frac{3}{4}$, and $h=\frac{9}{5}$. So $V=\frac{5}{6}\times\frac{3}{4}\times\frac{9}{5}$.

Step3: Multiply the fractions

$\frac{5}{6}\times\frac{3}{4}\times\frac{9}{5}=\frac{5\times3\times9}{6\times4\times5}=\frac{135}{120}$.

Step4: Simplify the fraction

$\frac{135\div15}{120\div15}=\frac{9}{8}=1\frac{1}{8}$

Answer:

$1\frac{1}{8}$