Define the formula for the surface area of a square pyramid.
A square pyramid has a square base and four triangular sides.
The formula for this case is:
A = s ^ 2 + 2 * s * L
Where,
s: side of the base
L: inclined height
The inclined height is:
L = root (h ^ 2 + (s / 2) ^ 2)
Where,
L = root (12 ^ 2 + (12/2) ^ 2)
L = root (144 + 36)
L = root (180)
L = 13.42
Substituting values:
A = (12) ^ 2 + 2 * (12) * (13.42)
A = 466.08 in ^ 2
Answer:
The surface area is:
A = 466.08 in ^ 2
