Question

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

A.
219.8 mm2

B.
341.6 mm2

C.
170.8 mm2

D.
390.6 mm2

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