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 + phB.SA = BA + LAC.SA = p + LAD.SA = BA - LAE.SA = BA + LA
Question
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 + phB.SA = BA + LAC.SA = p + LAD.SA = BA - LAE.SA = BA + LA
Solution
The correct formulas for finding the surface area (SA) of a right prism are:
A. SA = BA + ph B. SA = BA + LA E. SA = BA + LA
Explanation:
A. SA = BA + ph: This formula is correct. The surface area of a prism is the sum of the area of the bases (BA) and the perimeter of the base (p) times the height (h), which is the lateral area.
B. SA = BA + LA: This formula is also correct. The surface area of a prism is the sum of the area of the bases (BA) and the lateral area (LA).
E. SA = BA + LA: This is the same as option B and is also correct.
The other options are incorrect:
C. SA = p + LA: This formula is incorrect because it does not account for the area of the bases (BA).
D. SA = BA - LA: This formula is incorrect because the surface area of a prism is the sum of the area of the bases and the lateral area, not the difference.
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