Question

Find the total area for the regular pyramid. T. A. =

Answer 1

Answer:

The answer to your question is Superficial area = 144 + 36√3

Step-by-step explanation:

Process

1.- Calculate the area of the base

Area = base x height / 2

-Calculate the height using the Pythagorean theorem

        h² = 12² - 6²

        h² = 144 - 36

        h² = 108

        h = √108

        108  2

          54  2

          27  3

            9  3

             3  3

             1

         h = 6√3

Area = 12 x 6√3/2

Area = 36√3 u²

2.- Calculate the area of the superficial 3 triangles

Area = base x height / 2

-Calculate the height using the Pythagorean theorem

         h² = 10² - 6²

         h² = 100 - 36

         h² = 64

         h = 8

Area = 12 x 8/2

Area = 48 u²

Total area = 3(48) + 36√3

                 = 144 + 36√3