Question

Find the surface area of a pentagon-based pyramid with slant height of 11 m.

Answer 1

Answer:

108.75 square meter.

Step-by-step explanation:

Surface area of pentagon based pyramid:

   $\sf \boxed{\text{\bf Surface area of pentagonal pyramid = \bf \dfrac{5}{2}*b*(a + s) }}$

  Here,  b is the base length of the pyramid. b = 3 m

              a is the apothem of the pyramid. a = 3.5 m

              s is the slant height of the pyramid. s = 11 m

     $\sf Surface \ area = \dfrac{5}{2}*3*(11 + 3.5)$

                         $\sf = \dfrac{5}{2}*3*14.5\\\\ = 108.75 \ m^2$