Question

vijay has a crate in the back of his car that he uses to take his dog to the dog park. the crate is shaped like a rectangular prism and is 2 feet long, 1 1/2 feet wide, and 1 1/2 feet tall. what is the volume of the crate?

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$

Step2: Use the volume formula for a rectangular prism

The volume $V$ of a rectangular prism is $V = l\times w\times h$, where $l = 2$, $w=\frac{3}{2}$, and $h=\frac{3}{2}$. So $V=2\times\frac{3}{2}\times\frac{3}{2}$.

Step3: Calculate the product

$2\times\frac{3}{2}\times\frac{3}{2}=\frac{2\times3\times3}{2\times2}=\frac{18}{4}=\frac{9}{2}=4\frac{1}{2}$

Answer:

$4\frac{1}{2}$