Question

What is the surface area of the square pyramid represented by

the net?

9 cm

7 cm

9 cm

7 cm

9 cm

9 cm

Answer 1

Answer: 175 cm²

Explanation:

Since there are four congruent triangles, we will find the area of one and multiply by 4:

A =
`(B*H)/(2)`

A =
`(7*9)/(2)`

A = 31.5 cm²

-

31.5 cm² * 4 = 126 cm²

Now, we will find the area of the center square:

A = L²

A = 7²

A = 49 cm²

Lastly, we will find the total surface area:

126 cm² + 49 cm² = 175 cm²

The surface area of this square pyramid is 175 cm.