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A regular square pyramid has base area of 144in² and a slant height of 18 in. Find its surface area.​

Sagot :

Answer:

I don't know

Step-by-step explanation:

sorry po di ko naiintindihan

✒ 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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