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 a valid formula for the surface area? check all that apply

Answer 1

Answer: Apex:

SA=BA+1/2ps

SA=BA+LA

Explanation:

Answer 2

let
p---------------> is the perimeter of the base
s--------------> is the slant height
ba-----------> is the area of the base
la-----------> is the lateral area

we know that
[surface area of the pyramid]=area of the base+perimeter of the base*slant height/2
so
[surface area of the pyramid]=ba+p*s/2
la=p*s/2
[surface area of the pyramid]=ba+la

the answer is
surface area=ba+p*s/2
surface area=ba+la