Question

the volume, v, of a rectangular prism is determined using the formula v = lwh, where l is the length, w is the width, and h is the height of the prism. using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? round to the nearest tenth. 0.2 inches 4.5 inches 46.1 inches 414.7 inches

Explanation:

Step1: Rearrange volume formula

Given $V = lwh$, we solve for $w$: $w=\frac{V}{lh}$.

Step2: Substitute given values

We know $V = 138.24$ cubic - inches, $l = 3.2$ inches, and $h = 9.6$ inches. So $w=\frac{138.24}{3.2\times9.6}$.

Step3: Calculate the denominator

First, calculate $3.2\times9.6 = 30.72$.

Step4: Calculate the width

Then, $w=\frac{138.24}{30.72}=4.5$ inches.

Answer:

4.5 inches