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Find the surface area of the figure below.

Find the surface area of the figure below.-example-1

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Answer:

261 cm²

Explanation:

To find the surface area of a square pyramid, you must first recognize all of the shapes.

There are four triangles and one square.

  • To find the area of a square, multiply the side by itself twice.
  • To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.

The triangles have a base of 9 and a height of 10.


9*10=90

Multiply the product by 1/2.


90*1/2 = 45

There are four triangles.


45*4=180

The area of all three triangles is 180 centimeters; the area of a single triangle is 45 centimeters.

There square has sides of 9 centimeters.


9*9=81

The area of the square is 81 centimeters.

Lastly, we add the areas of the shapes.


45+45+45+45+81 = 261.

Therefore, the surface area of this square prism is 261 cm².

You can use this layout to find the surface area of a square pyramid.

Find the surface area of the figure below.-example-1
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