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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

View image MrRoyal
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