Question

1. the volume, v, of a rectangular pyramid can be determined by the 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. which of the following is the result of solving the equation for $w$?

options:
$w = \frac{3v}{lh}$
$w = \frac{v + 3}{lh}$
$w = 3v - lh$

Explanation:

Step1: Multiply both sides by 3

$$3V = lwh$$

Step2: Divide by $lh$ to isolate $w$

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

Answer:

$\boldsymbol{w = \frac{3V}{lh}}$ (the first option)