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 \( S = \frac{1}{2} l p + B \) for the quantity \( B \), follow these steps:

1. Start with the original equation: \[ S = \frac{1}{2} l p + B \]

2. Subtract \( \frac{1}{2} l p \) from both sides: \[ S - \frac{1}{2} l p = B \]

3. Thus, the rearranged equation for \( B \) is: \[ B = S - \frac{1}{2} l p \]

This equation gives you \( B \) in terms of \( S \), \( l \), and \( p \).