✒ MATHEMATICS
SOLUTION :
Formula for surface area of a regular square pyramid is:
- [tex]{\boxed{{\sf{S.A = A + \frac{1}{2} \: ps }}}}[/tex]
Where,
- A = area of base
- P = perimeter of base
- S = Slant height
If the base is a square with area (A) of 144 in², length of each side of base is:
- A = a × a
- 144 = a²
- a = √144
- a = 12 in
Perimeter (P)
- P = 4 × a
- P = 4 × 12
- P = 48 in
With A = 144 in², p = 48, and s = 18 in, surface area of the given square pyramid is:
- S.A = A + 1/2 ps
- S.A = 143 + 1/2 (48)(18)
- S.A = 144 + 432
- S.A = [tex]{\boxed{\green{\sf{576\: in²}}}}[/tex]
ANSWER :
- Therefore, in, surface area of the given square pyramid is 576 in².
hope this helps
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