Question

larrys new dog needs a lot of exercise, so he built an obstacle course for her in his basement. the basement is shaped like a rectangular prism. it is 10 meters wide, 2\frac{1}{2} meters tall, and has a volume of 375 cubic meters. how long is the basement? meter

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width and $h$ is height.

Step2: Rearrange formula for length

We can rewrite the formula to solve for $l$ as $l=\frac{V}{w\times h}$.

Step3: Substitute given values

Given $V = 375$ cubic - meters, $w = 10$ meters and $h=2\frac{1}{2}=\frac{5}{2}$ meters. Then $l=\frac{375}{10\times\frac{5}{2}}$.

Step4: Calculate the length

First, calculate $10\times\frac{5}{2}=25$. Then $l = \frac{375}{25}=15$ meters.

Answer:

15