Question

22 geometry the volume of a box v is given by the formula v = ℓwh, where ℓ is the length, w is the width, and h is the height. a. solve the formula for h. b. what is the height of a box with a volume of 50 cubic meters, length of 10 meters, and width of 2 meters?

Explanation:

Step1: Isolate h in the formula

Given $V = \ell wh$, divide both sides by $\ell w$. So $h=\frac{V}{\ell w}$.

Step2: Substitute values to find h

We know $V = 50$ cubic - meters, $\ell=10$ meters, and $w = 2$ meters. Substitute into $h=\frac{V}{\ell w}$, we get $h=\frac{50}{10\times2}$.

Step3: Calculate the value of h

$h=\frac{50}{20}=2.5$ meters.

Answer:

a. $h=\frac{V}{\ell w}$
b. $2.5$ meters