Question

This net can be folded to make a square pyramid. What is the surface area of the pyramid?

1
85 square inches
1
150 square inches
1
40 square inches
1
145 square inches
5 inches
My Progress >

Answer 1

85 inches²

Explanation:

1) Find the area of the square base

`A=l^2` where l is the length

Plug 5 inches in the equation as the length

`A=5^2\\A=25`

Therefore, the area of the square base is 25 inches².

2) Find the area of the triangles

`A=(1)/(2)bh` where b is the base length and h is the height

Plug in 5 inches as the base length and 6 inches as the height

`A=(1)/(2)(5)(6)\\A=(1)/(2)(30)\\A=15`

Therefore, the area of one triangle is 15 inches².

Multiply 15 by 4 because there are 4 triangles

15×4=60

Therefore, the area of all the triangles is 60 inches².

3) Add the area of the base and the area of the triangles

25+60=85 inches²

Therefore, the surface area of the pyramid is 85 inches².

I hope this helps!