Question

the formula for the volume of a pyramid is $v = \frac{1}{3}bh$. which of the following equations is equivalent to the given formula?
$b = \frac{v - \frac{1}{3}}{h}$ $b = \frac{v + \frac{1}{3}}{h}$ $b = \frac{3h}{v}$
$b = \frac{3v}{h}$

Explanation:

Step1: Start with the given formula

We have the volume formula for a pyramid: \( V = \frac{1}{3}Bh \). Our goal is to solve for \( B \).

Step2: Eliminate the fraction

Multiply both sides of the equation by 3 to get rid of the fraction. This gives us \( 3V = Bh \).

Step3: Solve for B

Divide both sides of the equation \( 3V = Bh \) by \( h \) (assuming \( h
eq 0 \)). So, \( B=\frac{3V}{h} \).

Answer:

\( B = \frac{3V}{h} \) (the option in the bottom - left box)