Question

(05.07 MC)

The net of a square pyramid is shown:



What is the surface area of the figure?
0.5625 square inch
0.7625 square inch
1.5625 square inches
1.7625 square inches

Answer 1

Given that the net of the square pyramid is as shown above, the surface are of the pyramid will be given by:

SA=(number of triangles)*(area of triangle)*(area of square base)

area of one triangle will be:

A=1/2*base*height

A=1/2*0.8*0.75

A=0.3 sq. inches

area of the square base will be:

A=0.75*0.75

A=0.5625

Therefore the surface area will be:

SA=4*0.3*0.5625

SA=0.675 sq. inches

Explanation:

Answer 2

Given that the net of the square pyramid is as shown above, the surface are of the pyramid will be given by:
SA=(number of triangles)*(area of triangle)*(area of square base)
area of one triangle will be:
A=1/2*base*height
A=1/2*0.8*0.75
A=0.3 sq. inches

area of the square base will be:
A=0.75*0.75
A=0.5625
Therefore the surface area will be:
SA=4*0.3*0.5625
SA=0.675 sq. inches