rachelulai rachelulai
  • 15-08-2022
  • Mathematics
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Find the surface area of the pentagon-based pyramid with a slant height of 9 in.

Find the surface area of the pentagonbased pyramid with a slant height of 9 in class=

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devishri1977
devishri1977 devishri1977
  • 15-08-2022

Answer:

56 square inches

Step-by-step explanation:

Surface area of pentagonal based pyramid:

       [tex]\sf \boxed{\bfSurface \ area \ of \ pentagonal \ pyramid = \dfrac{5}{2}*b(a+s)}[/tex]

Here, b is the base of the pentagonal pyramid.

a is the Apothem of the pentagon.

S is the slant height.

                                                      [tex]\sf = \dfrac{5}{2}*2*(2.2 + 9)\\\\ =\dfrac{5}{2}*2*11.2\\\\= 56 \ in^2[/tex]

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