Use the net to find the surface area of the regular pyramid?

Given:

Given that the square pyramid.

The slant height of the square pyramid is 3 inches.

The base of the pyramid is 4 inches.

We need to determine the net surface area of the square pyramid.

Area of the base:

The area of the base can be determined using the formula,

where a is the base of the pyramid.

Substituting a = 4, we get;

Thus, the area of the base is 16 square inches.

Perimeter of the base:

The perimeter of the base is given by

Thus, the perimeter of the base is 16 inches.

Surface area of the pyramid:

The surface area of the pyramid can be determined using the formula,

where A is the area of the base,

p is the perimeter of the base and

s is the slant height.

Substituting the values, we have;

Thus, the surface area of the square pyramid is 40 square inches.