Question

Find the surface area of the figure below.

Answer 1

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.