Question

(05.07) The net of a pyramid is shown below.

The net of a square based pyramid, with base edges labeled 4 inches and the height of the triangle labeled 8 inches.


The surface area of the solid is ____ square inches.


Numerical Answers Expected!


Answer for Blank 1:

Answer 1

80

Explanation:

Answer 2

We look for the area of the base.
Square:
A1 = (4) * (4) = 16 in ^ 2
We look for the area of the triangles of the pyramid:
A2 = (1/2) * (4) * (8) = 16 in ^ 2
The surface area of the pyramid is:
A = A1 + 4 * A2
Substituting values:
A = 16 + 4 * (16)
A = 80 in ^ 2
Answer:
The surface area of the solid is 80 square inches