Question

find the volume of the rectangular prism. 2 ft. $\frac{5}{9}$ ft. $\frac{7}{10}$ ft. write your answer as a whole number, a proper fraction, or a mixed number. cubic feet

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height. Here, $l = 2$ ft, $w=\frac{7}{10}$ ft and $h=\frac{5}{9}$ ft.

Step2: Substitute values

$V=2\times\frac{7}{10}\times\frac{5}{9}$

Step3: Simplify first - fraction multiplication

$2\times\frac{7}{10}=\frac{2\times7}{10}=\frac{14}{10}=\frac{7}{5}$

Step4: Multiply the result by the third fraction

$V=\frac{7}{5}\times\frac{5}{9}=\frac{7\times5}{5\times9}=\frac{7}{9}$

Answer:

$\frac{7}{9}$