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.
The formula for the surface area of a square pyramid is:
SA = Base Area + (1/2) * Perimeter of Base * Slant Height
Given that the length of the base is 40 in. and the surface area is 2,800 in., we can substitute these values into the formula:
2,800 = (40^2) + (1/2)*(4*40)*Slant Height
Simplifying:
2,800 = 1,600 + 80*Slant Height
Subtracting 1,600 from both sides:
1,200 = 80*Slant Height
Dividing both sides by 80:
15 = Slant Height
Therefore, the slant height is 15 inches.