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

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{1}{3}=\frac{2\times3 + 1}{3}=\frac{7}{3}$; $2\frac{1}{4}=\frac{2\times4+1}{4}=\frac{9}{4}$

Step2: Use the volume formula for a rectangular prism

The volume formula of a rectangular prism is $V = l\times w\times h$. Here, $l=\frac{7}{3}$, $w = \frac{9}{4}$, $h=\frac{3}{4}$. So $V=\frac{7}{3}\times\frac{9}{4}\times\frac{3}{4}$

Step3: Multiply the fractions

$\frac{7}{3}\times\frac{9}{4}\times\frac{3}{4}=\frac{7\times9\times3}{3\times4\times4}=\frac{189}{48}$

Step4: Simplify the fraction

$\frac{189}{48}=\frac{63}{16}=3\frac{15}{16}$

Answer:

$3\frac{15}{16}$