Question

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

Explanation:

Step1: Recall volume formula

The volume $V$ of a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height. Here, $l=\frac{11}{12}$ in, $w = \frac{4}{5}$ in and $h=\frac{3}{4}$ in.

Step2: Multiply the fractions

$V=\frac{11}{12}\times\frac{4}{5}\times\frac{3}{4}$. First, $\frac{11}{12}\times\frac{4}{5}=\frac{11\times4}{12\times5}=\frac{44}{60}=\frac{11}{15}$. Then, $\frac{11}{15}\times\frac{3}{4}=\frac{11\times3}{15\times4}=\frac{33}{60}=\frac{11}{20}$ (simplified by dividing both numerator and denominator by 3).

Answer:

$\frac{11}{20}$