The net shown below forms a square pyramid. Find the surface area of the square pyramid.
The numbers are 5, 5 and 4. How do I do this?

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  1. well, what do the lines on the net represent?

    The surface area is the area of the square base, plus 4 isosceles triangles.

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  2. Hello Steve I have never done this before.

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  3. I know that it is one square and up above it to the top is a triangle with the number 5 and to the left of it is another triangle with the number 5 and to the right of it is another triangle with the number 4 going straight across.

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  4. A net is an unfolding of a line drawing of the pyramid. Each line represents an edge of the original figure. So, they will give a way to determine the dimensions and thus the area and volume of the pyramid.

    If you google "square pyramid net" you will see lots of images and articles.

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  5. well, it sounds like the triangles have two sides of length 5, and an altitude of 4.

    That means, each triangle consists of adjoining 3-4-5 right triangles, making a base of 6, which is also the side of the square.

    So, the area of the pyramid is

    4^2 + 4*(6*4)/2 = 64

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  6. rate. make that

    6^2 + 4*(6*4)/2 = 84

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