Area of a Pyramid

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Pyramid is a geometric figure formed by a polygon base joined to a point.This point is called as the apex. The edges of the base and the apex form a triangle. Area of the pyramid when all the side faces are the same is‘B + 1/2PL’. Here B is the base area of the pyramid, P is the perimeter of the base and L is the slant height.

Example 1: What is the area of the pyramid which has a rectangular base with dimensions 4 cm, 8cm and slant height 6 cm?

The rectangular base dimensions are 4 cm and 8 cm respectively.

The base area = 4 cm * 8 cm = 32 cm2.

The base perimeter = 2(8 + 4) = 2 * 12 = 24 cm.

Slant height = 6 cm.

Area of the pyramid = B+ 1/2PL

Hence, Area = 32 + 1/2(24 * 6) = 104 cm2.

Area of the pyramid = 104 cm2.

 
Example 2: What is the area of the pyramid which has a rectangular base with dimensions 3 cm, 6

cm and slant height 10 cm?


The rectangular base dimensions are 3 cm and 6 cm respectively.

The base area = 3 cm * 6 cm = 18 cm2.

The base perimeter = 2(3 + 6) = 2 * 9 = 18 cm.

Slant height, L = 10 cm.

Area of the pyramid = B+ 1/2PL

Hence, area = 18 + 1/2(18 * 10) = 108 cm2.

Area of the pyramid = 108 cm2.

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