Question

1. the volume (v) of a rectangular pyramid can be determined by using the following formula.

$v = \frac{lwh}{3}$
where $l$ is the length of the rectangle, $w$ is the width of the rectangle, and $h$ is the height of the pyramid, what is the result of solving this equation for $w$?
\\(\bigcirc\\) a. $w = \frac{v + 3}{lh}$
\\(\bigcirc\\) b. $w = v + 3 - lh$
\\(\bigcirc\\) c. $w = \frac{3v}{lh}$
\\(\bigcirc\\) d. $w = 3v - lh$

Explanation:

Step1: Multiply both sides by 3

$$3V = lwh$$

Step2: Divide both sides by \(lh\)

$$w=\frac{3V}{lh}$$

Answer:

C. \(w = \frac{3V}{lh}\)