Question

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

Answer 1

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,

`A=a^2`

where a is the base of the pyramid.

Substituting a = 4, we get;

`A=4^2`

`A=16 \ in^2`

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

Perimeter of the base:

The perimeter of the base is given by

`p=4+4+4+4`

`p=16 \ in`

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,

`SA=A+(1)/(2) p s`

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;

`SA=16+(1)/(2)(16)(3)`

`SA=16+(48)/(2)`

`SA=16+24`

`SA=40 \ in^2`

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