Question

a triangular prism has an equilateral triangle base whose sides are 6 meters. The height of the prism is 35 meters, and the height of the base is 5.2 meters. What is the lateral surface area of the prism?

Answer 1

The lateral area is 630 square meters.

Explanation:

The lateral area reders to the total area of all its faces. Also, it can be defined as the perimeter of the base multiplied by the height of the prism.

We knowby given that the sides of the base are 6 meters long each.

So, its perimeter is

`P_(base)=6+6+6=18m\\`

We also know that the height of the prism is 35 meters.

So, the lateral area is

`L=P_(base) * h\\ L=18m * 35 m\\L=630 m^(2)`