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Sagot :
The net of the pyramid is the plane shapes that makes up the pyramid
The surface area of the pyramid is 224 m^2
How to draw the net of the pyramid
The pyramid is a square based pyramid.
This means that the net of the pyramid has a square and four triangles
See attachment for the net of the pyramid
How to calculate the surface area of the Pyramid
The base length is given as:
b = 8
The slant height is given as:
s = 10
Start by calculating the height of the pyramid using:
[tex]h = \sqrt{s^2 - (b/2)^2}[/tex]
So, we have:
[tex]h = \sqrt{10^2 - (8/2)^2}[/tex]
[tex]h = \sqrt{84}[/tex]
The area of the pyramid is then calculated as:
[tex]A = b^2 + 2b * \sqrt{\frac{b^2}{4} + h^2}[/tex]
So, we have:
[tex]A = 8^2 + 2*8 * \sqrt{\frac{8^2}{4} + 84}[/tex]
[tex]A = 64 +16 * \sqrt{16 + 84}[/tex]
[tex]A = 64 +16 * \sqrt{100}[/tex]
[tex]A = 64 +16 * 10[/tex]
[tex]A = 224[/tex]
Hence, the surface area of the pyramid is 224 m^2
Read more about surface areas at:
https://brainly.com/question/10171109
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