A square pyramid has a base area of 64 ft2. The pyramid’s total surface area is 224 ft2.

What is the area of each triangular face?

160 ft2

32 ft2

40 ft2

53 ft2

Relax

Respuesta :

The area of each triangular face is 40 square feet

Solution:

Given that,

Square pyramid has a base area of 64 square feet

The pyramid’s total surface area is 224 square feet

The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base

Therefore, total surface area of square pyramid is given as,

Total surface area = base area + 4(Area of traingular face)

Let "x" be the area of each traingular face

[tex]224 = 64 + 4(x)\\\\224 - 64 = 4x\\\\4x = 160\\\\x = 40[/tex]

Thus area of each triangular face is 40 square feet