The surface area of the roof is the amount of space on it
The surface area of the roof is 600 square meters,
How to determine the surface area?
From the complete question, we have the parameters for the roof:
- The roof is a square based pyramid
- The height (h) is 10 meters.
- The base (b) of the pyramid is 15 meters.
The surface area of the roof is calculated using:
[tex]A = b^2 + 2b \sqrt{\frac{b^2}4 + h^2}[/tex]
So, we have:
[tex]A = 15^2 + 2 * 15 \sqrt{\frac{15^2}4 + 10^2}[/tex]
Evaluate the exponents
[tex]A = 225 + 30 * \sqrt{\frac{225}4 + 100[/tex]
The equation becomes
[tex]A = 225 + 30 * 12.5[/tex]
Evaluate the sum
[tex]A = 600[/tex]
Hence, the area of the roof is 600 square meters
Read more about surface areas at:
https://brainly.com/question/6613758
