The formula for the surface area of a square pyramid is:
SA = (l * s)/2 + l^2
where SA is the surface area, l is the length of the base, and s is the slant height.
We are given that SA is 2,800 in^2 and the length of the base is 40 in. Plugging these values into the formula, we get:
2,800 = (40 * s)/2 + 40^2
Simplifying,
2,800 = 20s + 1600
Subtracting 1600 from both sides,
1,200 = 20s
Dividing both sides by 20,
s = 60
Therefore, the slant height is 60 inches.
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 in^2
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