Question

Use a net to find the surface Area of the square pyramid The height of the pyramid is 9 yes and the base sides are all 2.5 yrds and its a square as a base

Answer 1

`Area = 51.68yd^2`

Explanation:

Given

`h = 9yd` -- height

`a = 2.5yd` --- base sides

Required

Determine the surface area

The net is not given. So, I will solve directly.

The surface area is calculated as:

`Area = a^2 + 2a\sqrt{(a^2)/(4) + h^2}`

So, we have:

`Area = 2.5^2 + 2*2.5\sqrt{(2.5^2)/(4) + 9^2}`

`Area = 6.25 + 5\sqrt{(6.25)/(4) + 81}`

`Area = 6.25 + 5√(1.5625 + 81)`

`Area = 6.25 + 5√(82.5625)`

`Area = 6.25 + 5* 9.086`

`Area = 51.68yd^2`