Question

what is the lateral area of a regular pyramid with a square base which has a slant height of nine units and base side length of seven units?

Answer 1

126 sq units.

Explanation:

We want the side surface area only, we'll calculate both

For the sides, we have 4 triangles with a base of 7 and a height of 9 units.

The area of a triangle is calculated with A = (b * h)/2

So, each of the sides of the pyramid has an area of:

A = (7 * 9) / 2 = 31.5 sq units

There are four sides, so total lateral area: 4 * 31.5 = 126 sq units.

The total lateral area of that pyramid is 126 sq units.