Question

The formula for the volume of a pyramid is V=1/3Bh
, where B is the area of the base and h is the height. Rearrange the formula to solve for the area of the base (B).

Answer 1

To rearrange the formula for the volume of a pyramid \( V = \frac{1}{3}Bh \) to solve for the area of the base \( B \), follow these steps:

1. Multiply both sides of the equation by 3 to eliminate the fraction:
\[
3V = Bh
\]

2. Next, divide both sides by \( h \) to isolate \( B \):
\[
B = \frac{3V}{h}
\]

So, the rearranged formula for the area of the base \( B \) is:
\[
B = \frac{3V}{h}
\]