Question

What is the slant height of a square pyramid that has a surface area of 189 square feet and a side length of 7 feet?

Answer 1

Using the formula for surface area of a square pyramid: \[A=2bs+b^2\]
\[189=2(7)s+(7)^2\]
This can be simplified to
\[189=14s+49\]
Subtract 49 from both sides:
\[140=14s\]
Divide by 14 to get
s=10