The surface area of a pyramid is displaystyle AB tfrac PL 2 where B is the base area P is the base perimeter and the slant height displaystyle L sqrt h 2r 2 where h is the pyramid altitude and r is the inradius of the base. This is because the side faces are always triangles and the triangle formula is base times height divided by 2 But when the side faces are different such as an irregular pyramid we must add up the area of each triangle to find the total lateral area. The volume of a prism is Bh.
Mathematical Handbook of Formulas and Tables.
Find an answer to your question What is the mathematical formula for finding the volume of a pyramid in Mathematics if the answers seem to be not correct or theres no answer. Another method of analyzing the pyramid geometry is with a square rotated 45 with respect to the ground plane. If we have triangular pyramid with a side of s and all the faces and the base are equilateral triangles then the formula for the total surface area is SA 3As Ab Where As is the area of the three faces and Ab is the area of the base Since the triangles are equilateral the surface area in terms of s is SA 3 3 4 s² 3 4 s². Pyramid 13 base area height.