Question

A square pyramid is 6 feet on each side. The height of the pyramid is 6 feet. What is the total area of the pyramid?

(1215 +36)
(3675 +36) 2
1725 +36)
7252

Answer 1

The Area of square pyramid is 36 + 36
`√(5)` .

Explanation:

Given as :

For A square pyramid

The measure of each base side = b = 6 feet

The height of the pyramid = h = 6 feet

Let The Total area of pyramid = A square feet

Now, According to question

The area of square pyramid

Area = b² + 2 × b
`\sqrt{(b^(2) )/(4)+h^(2)  }`

Where b is the square base edge

And h is the pyramid height

I.e A = 6² + 2 × 6
`\sqrt{(6^(2) )/(4)+6^(2)  }`

Or, A = 36 + 12 ×
`\sqrt{(36 )/(4)+36  }`

Or, A = 36 + 12 ×
`√(9+36)`

Or, A = 36 + 12 ×
`√(45)`

Or, A = 36 + 12 × 3
`√(5)`

Or, A = 36 + 36
`√(5)`

So,The Area of square pyramid = A = 36 + 36
`√(5)`

Hence, The Area of square pyramid is 36 + 36
`√(5)` . Answer