The formula for the surface area (SA) of a square pyramid is given by:
SA = L^2 + 2Lh
where L is the length of the base of the pyramid and h is the height of the pyramid.
In this problem, we are given that L = 40 inches and SA = 2,800 in^2.
Substituting these values into the formula, we have:
2,800 = 40^2 + 2(40)(h)
Simplifying the equation, we get:
2,800 = 1,600 + 80h
Subtracting 1,600 from both sides of the equation, we get:
1,200 = 80h
Dividing both sides of the equation by 80, we get:
h = 15 inches
Therefore, the height of the pyramid is 15 inches.
Use the formula for surface area of a square pyramid to solve for the slate height at the length of the base is 40 inches and sa equals 2,800 in square
1 answer
1 answer