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Complete Question
Which formulas can be used to find the surface area of 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?
Check all that apply.
a) SA = BA + 1/2ps
b) SA = 2BA + 1/2ps
c) SA = BA + LA
d) SA = BA + 2LA
e) SA = 8.LA
Answer:
a) SA = BA + 1/2ps
d) SA = BA + 2LA
Explanation:
When finding the surface area of a regular pyramid it is important to take note of two things
A pyramid has a Base area which is always represented by BA.
a) When a regular pyramid has similar ( side)faces, for examples a regular square pyramid, which has the base of a square, the formula to use is
Surface Area = Base Area + 1/2ps
Where p = Perimeter of the side faces
s = Slant height.
b) When the side faces are not so similar , for example, we are given a triangular based pyramid, the formula we would use is given as:
Surface Area = Base Area + Lateral Area.
Therefore, the formulas we can use to find the Surface Areas or a regular pyramid are:
a) SA = BA + 1/2ps
d) SA = BA + 2LA