Question

Find the surface area of the attached figure and round your answer to the nearest tenth, if necessary.

Answer 1

`S.A = 246.6 in^2`

Explanation:

The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.

Surface area of the square pyramid is given as:
`B.A + (1)/(2)*P*L`

Where,

B.A = Base Area of the pyramid = 9*9 = 81 in²

P = perimeter of the base = 4(9) = 36 in

L = slant height of pyramid = 9.2 in

Plug in the values into the given formula to find the surface area

`S.A = 81 + (1)/(2)*36*9.2`

`= 81 + 18*9.2`

`= 81 + 165.6`

`S.A = 246.6 in^2`