Question

1. the volume (v) of a rectangular pyramid can be determined by using the following formula. ( v = \frac{lwh}{3} ) where ( l = ) the length of the rectangle, ( w = ) the width of the rectangle, and ( h = ) the height of the pyramid, what is the result of solving this equation for ( w )? ( \bigcirc w = \frac{v + 3}{lh} ) ( \bigcirc w = \frac{3v}{lh} ) ( \bigcirc w = 3v - lh ) ( \bigcirc w = v + 3 - lh )

Explanation:

Step1: Start with the volume formula

We have the formula for the volume of a rectangular pyramid: $V = \frac{lwh}{3}$.

Step2: Multiply both sides by 3

To eliminate the fraction, multiply each side of the equation by 3. This gives us $3V = lwh$.

Step3: Divide both sides by $lh$

To solve for $w$, we divide both sides of the equation $3V = lwh$ by $lh$. So, $w=\frac{3V}{lh}$.

Answer:

$w = \frac{3V}{lh}$ (corresponding to the option $w=\frac{3V}{lh}$)