Question

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

Answer 1

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

`224 = 64 + 4(x)\\\\224 - 64 = 4x\\\\4x = 160\\\\x = 40`

Thus area of each triangular face is 40 square feet