Question

HELP PLZZ I FORGOT HOW TO DO THIS!!!! What is the surface area of the square pyramid represented by the net?

Enter your answer in the box.

Answer 1

39
`ft^(2)`

Explanation:

Area of a triangle =
`(1)/(2)` × base × height

All four triangles are similar. So finding the area of one triangle, will be the area of the other triangles.

`(1)/(2)` × 3 × 5 = 7.5
`ft^(2)`

∴ The area of 4 triangles are 7.5 × 4 = 30
`ft^(2)`

Then the only shape remaining is the square.

Area of the square =
`length^(2)` (all the sides of a square are equal)

=
`3^(2)` = 9
`ft^(2)`

Total surface area = 30 + 9 = 39
`ft^(2)`