Question

Rearranging Formulas Practice
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Question
The surface area of a square pyramid can be calculated using the equation S=12lp+B
. Rearrange the surface area equation for the quantity of interest B
.(1 point)
B=

Answer 1

To isolate \( B \) in the surface area equation \( S = \frac{1}{2}lp + B \), you need to subtract \(\frac{1}{2}lp\) from both sides. Here's how to rearrange the equation:

1. Start with the initial equation:
\[
S = \frac{1}{2}lp + B
\]

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

Now, \( B \) is isolated:
\[
B = S - \frac{1}{2}lp
\]

So the rearranged equation for \( B \) is:
\[
B = S - \frac{1}{2}lp
\]