Question

question a shipping container is in the form of a right rectangular prism and it can hold 1800 cubic feet of shipped goods when it is full. its length is 30 ft and its height is 7 ft 6 inches. find the width of the container in feet. round your answer to the nearest tenth if necessary. answer attempt 1 out of 2.

Explanation:

Step1: Convert height to feet

Since 1 inch = $\frac{1}{12}$ feet, 6 inches = $6\times\frac{1}{12}=0.5$ feet. So the height $h = 7.5$ feet.

Step2: Recall volume formula

The volume $V$ of a right - rectangular prism is $V=l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height. We know $V = 1800$ cubic feet, $l = 30$ feet and $h=7.5$ feet. We need to solve for $w$.

Step3: Rearrange the formula for $w$

From $V=l\times w\times h$, we can get $w=\frac{V}{l\times h}$.

Step4: Substitute values

Substitute $V = 1800$, $l = 30$ and $h = 7.5$ into the formula: $w=\frac{1800}{30\times7.5}=\frac{1800}{225}=8$ feet.

Answer:

8