Question

Consider a regular pyramid where p is the perimeter of the base, s is the slant height, ba is the base area, and la is the lateral area. what is the valid formula for the surface area

Answer 1

Surface area = ba + ph

Answer 2

Surface area = ab + 1/2 (ps)

Explanation:

Surface area of a regular pyramid is represented by the formula

Surface are = area of base + area of lateral surfaces

= ab + 4 [1/2 (one side of the base) (slant height)]

= ab + 1/2 [4 × (one side of the base) ( slant height)]

= ab + 1/2 [(perimeter of base) × (slant height) ]

= ab + 1/2 [p×s]

Surface area = ab + 1/2 (ps)