Question

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

Explanation:

Step1: Convert mixed - number to improper fraction

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

Step2: Use volume formula for rectangular prism

The volume formula of a rectangular prism is $V = l\times w\times h$, where $l=\frac{7}{3}$ ft, $w = \frac{3}{4}$ ft, and $h=\frac{3}{4}$ ft. So $V=\frac{7}{3}\times\frac{3}{4}\times\frac{3}{4}$

Step3: Multiply the fractions

$\frac{7}{3}\times\frac{3}{4}\times\frac{3}{4}=\frac{7\times3\times3}{3\times4\times4}=\frac{63}{48}$

Step4: Simplify the fraction

$\frac{63}{48}=\frac{21}{16}=1\frac{5}{16}$

Answer:

$1\frac{5}{16}$