Find the lateral surface area of
the following square pyramid:

Given:

A square base pyramid with base length 6 cm and the slant height is 4 cm.

To find:

The lateral surface area of the given square pyramid.

Solution:

The lateral surface area of the given square pyramid is equal to the areas of 4 congruent triangles with base 6 cm and height 4 cm.

Area of a triangle is:

So, the area of one triangle or one side of the given pyramid is:

Now, the lateral surface area of the given square pyramid is 4 times the area of one triangle.

Therefore, the lateral surface area of the given square pyramid is 48 cm².