Question

Plzzz Help ASAP! This image shows a square pyramid what is the surface area of this square pyramid?

Answer 1

The answer is 72 ft²

Answer 2

`72\ ft^(2)`

Explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

`SA=b^(2)+4[(1)/(2)bh]`

where

b is the length side of the square base

h is the height of the triangular face

Remember that

Each lateral triangular face is a triangle 45°-90°-45°

so

`h=b/2`

we have

`b=6\ ft`

so

`h=6/2=3\ ft`

substitute in the formula

`SA=6^(2)+4[(1)/(2)(6)(3)]=72\ ft^(2)`