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 + psC.SA = BA + psD.SA = BA - LAE.SA = BA + LA
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 + psC.SA = BA + psD.SA = BA - LAE.SA = BA + LA
Solution
The correct formulas for finding the surface area (SA) of a regular pyramid with a square base are:
B. SA = BA + ps E. SA = BA + LA
Explanation:
The surface area of a pyramid is found by adding the area of the base (BA) to the lateral area (LA). The lateral area of a pyramid is found by multiplying the perimeter of the base (p) by the slant height (s) and then dividing by 2. Therefore, the formula can be expressed as SA = BA + LA or SA = BA + ps.
The other options are incorrect. Option A is missing the lateral area or the product of the perimeter and slant height. Option C is a repetition of option B. Option D is subtracting the lateral area from the base area, which is not a correct formula for surface area.
Similar Questions
Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of the prism, BA is the area of bases, and LA is the lateral area?Check all that apply.A.SA = BA + LAB.SA = BA - LAC.SA = p + LAD.SA = BA + phE.SA = BA + LA
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