Which formulas can be used to find the surface area of a regular pyramid with a square base where the perimeter of the base is equal to p, s is the slant height, BA is the base area, and LA is the lateral area?Check all that apply.A.SA = BA LAB.SA = BA + LAC.SA = BA + psD.SA = BA - LAE.SA = BA + ps
Question
Which formulas can be used to find the surface area of a regular pyramid with a square base where the perimeter of the base is equal to p, s is the slant height, BA is the base area, and LA is the lateral area?Check all that apply.A.SA = BA LAB.SA = BA + LAC.SA = BA + psD.SA = BA - LAE.SA = BA + ps
Solution
The formulas that can be used to find the surface area of a regular pyramid with a square base where the perimeter of the base is equal to p, s is the slant height, BA is the base area, and LA is the lateral area are:
B. SA = BA + LA C. SA = BA + ps
Option B is correct because the surface area of a pyramid is the sum of the base area and the lateral area.
Option C is correct because the lateral area of a pyramid with a square base can be found by multiplying the perimeter of the base by the slant height and dividing by 2. Adding this to the base area gives the total surface area.
The other options are incorrect. Option A is missing the lateral area, option D is subtracting the lateral area instead of adding it, and option E is adding the product of the perimeter and the slant height to the base area, which would give an incorrect result.
Similar Questions
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