The surface area of a square pyramid can be calculated using the equation S=12lp+B

Question

. Rearrange the surface area equation for the quantity of interest B
.(1 point)

Answer 1

To rearrange the surface area equation $S=\frac{1}{2}lp+B$ for the quantity $B$, follow these steps:

1. Start with the original equation: $$S=\frac{1}{2}lp+B$$

2. Subtract $\frac{1}{2}lp$ from both sides: $$S-\frac{1}{2}lp=B$$

3. Thus, the rearranged equation for $B$ is: $$B=S-\frac{1}{2}lp$$

This equation gives you $B$ in terms of $S$, $l$, and $p$.