Question

Find the total area for the pyramid with the equilateral base. T. A. =

Answer 1

Answer:

the answer is 144+36 square root 3

Step-by-step explanation:

Answer 2

Answer:

36√3 + 144

Step-by-step explanation:

Given that,

base of the pyramid is an equilateral triangle with sides = 12

Formula to calculate total surface area of pyramid

[Base Area] +  1/2 × Perimeter × [Slant Length]

Base Area

1/2 (height) (base)

1/2 (√12²-6²)(12)

6(6√3)

36√3

perimeter of base

sum of all sides = 12 + 12+ 12

                          = 36

slant height = √10²-6²

                     = 8

put all these values in the formula above

36√3 + 1/2(36)(8)

36√3 + 144

Total area for the pyramid with the equilateral base =

36√3 + 144