Question

Use the formula for the surface area of a square pyramid to solve for the slant height if the length of the base is 40 in. and SA equals 2,800 in2 .(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The formula for the surface area of a square pyramid is:

SA = s^2 + 2sl

where s is the length of the base and l is the slant height.

Given:
s = 40 in
SA = 2800 in^2

We can rearrange the formula to solve for l:

2800 = 40^2 + 2(40)(l)
2800 = 1600 + 80l
2800 - 1600 = 80l
1200 = 80l
l = 1200/80
l = 15

Therefore, the slant height is 15 inches.