Question

What is the surface area of the square pyramid? Use the net of the pyramid to find the surface area.

Answer 1

Using the net, we see that the square pyramid breaks down to 4 equivalent triangles and a square. We can use this formula to solve for the surface area:

Sa=A(square)+4*A(triangle)

The formula for the area of a square is

A=l*w
A=7*7
A=49mm²

The formula for the area of a triangle is:

A=1/2b*h
A=1/2*7*12.2
A=42.7mm²

Now that we have the individual areas of the shapes, we can solve for the surface area.

Sa=A(square)+4*A(triangle)
Sa=49mm²+4*42.7mm²
Sa=49mm²+170.8mm²
Sa=219.8mm²

Answer=219.8mm²
ANSWER=A