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?

Answer 1

Answer:

The Area of square pyramid is 36 + 36$\sqrt{5}$ .

Step-by-step 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 $\sqrt{\frac{b^{2} }{4}+h^{2} }$

Where b is the square base edge

And h is the pyramid height

I.e A = 6² + 2 × 6 $\sqrt{\frac{6^{2} }{4}+6^{2} }$

Or, A = 36 + 12 × $\sqrt{\frac{36 }{4}+36 }$

Or, A = 36 + 12 × $\sqrt{9+36}$

Or, A = 36 + 12 × $\sqrt{45}$

Or, A = 36 + 12 × 3$\sqrt{5}$

Or, A = 36 + 36$\sqrt{5}$

So,The Area of square pyramid = A = 36 + 36$\sqrt{5}$

Hence, The Area of square pyramid is 36 + 36$\sqrt{5}$ . Answer