Different Parts of a Pyramid are:
● Height: Perpendicular from vertex to base.
● Lateral Edge: The edges through the vertex of a pyramid.
● Slant Height: The height of a lateral face of a regular pyramid. It is the line segment joining the vertex to the mid-point of any one of the sides of the base.
● Volume of a pyramid = \(\frac{1}{3}\) × Base Area × Height.
● Surface area of a pyramid when all side faces are same = Base Area + \(\frac{1}{2}\)× Perimeter of base × Slant height
● Surface area of a pyramid, when all side faces are different = Base Area + Lateral Area.
For a right pyramid with an equilateral triangle of side ‘a’ as base and heigh
♦ Lateral edge = \(\sqrt{h^2+\frac{a^2}{3}}\)
♦ Slant height = \(\sqrt{h^2+\frac{a^2}{12}}\)
♦ Lateral surface area = \(\frac{1}{2}\) × Perimeter of base × Slant height =\(\frac{1}{2}\)×3a × \(\sqrt{h^2+\frac{a^2}{12}}\)
