Question

A square pyramid has a base area of 36 ft2. The pyramid’s total surface area is 144 ft2.

Answer 1

The area of each triangle face is 27 square feet .

Explanation:

Given as :

The base area of square pyramid = A = 36 square feet

The total surface area of square pyramid = TSA = 144 square feet

Let The area of each triangle face = x square feet

Now, According to question

Total surface Area of square pyramid = Base area of square pyramid + Area of four triangle faces

Or, TSA = A + 4 × x

Or, 144 ft² = 36 ft² + 4 × x ft²

Or, 4 × x = 144 ft² - 36 ft²

Or 4 × x = 108 ft²

∴ x =
`(108)/(4)`

i.e x = 27 ft²

So, The area of each triangle face = x = 27 square feet

Hence, The area of each triangle face is 27 square feet . Answer