Area of a Pyramid - Online Tutoring

Area of a Pyramid - Online Tutoring Pyramid is a geometric figure formed by a polygon base joined to a point.This point is called as the apex. Theedges of the base and the apex form a triangle. Area of the pyramid when all the side faces are the same isB+ 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.