# Lateral Surface Area of a Prism

The lateral surface area of a prism is the total of the area of the faces.

Lateral Surface Area

Lateral Surface Area

Lateral Surface Area Perimeter of the base height of the prism

Lateral Surface Area Perimeter of the base times the altitude

**Rule 1: **The lateral area of the prism is equal to the perimeter of the base times the altitude.

**Rule 2: **The total surface area of a prism is the sum of the lateral areas and the area of its base.

__Example__:

Find the area of the whole surface of a right triangular prism whose height is m and the sides of whose bases are and m, respectively.

__Solution__:

In all there are five plane figures, i.e., two triangles and three rectangles. Since both the rectangles are of equal area,

Area of both triangles

Area of both triangles

Area of both triangles square meters

Area of all three rectangles square meters

Area of the whole surface square meters