A triangular prism has bases that are equilateral triangles. Which statements are true about the surface area of the triangular prism? Choose all that apply. A all three rectangular faces have the same surface areaB the surface area of each rectangular face is 66cm2 C the combined surface area of both bases is greater than the surface area of one rectangular faceD the surface area of one base is 15.6cm2

Answer:A. all three rectangular faces have the same surface areaB. the surface area of each rectangular face is  [tex]66\ cm^{2}[/tex]D. the surface area of one base is [tex]15.6\ cm^{2}[/tex]Step-by-step explanation:Verify each statementcase A) all three rectangular faces have the same surface areaThe statement is trueBecause, the equilateral triangle has the three equal sides and the three equal internal angles. case B) the surface area of each rectangular face is  [tex]66\ cm^{2}[/tex]The statement is trueBecause, the area of each rectangular face is equal to [tex]6(11)=66\ cm^{2}[/tex]case C) the combined surface area of both bases is greater than the surface area of one rectangular faceThe statement is FalseBecauseThe combined surface area of both bases is [tex]2[\frac{1}{2}(6)(5.2)]=31.2\ cm^{2}[/tex]The surface area of one rectangular face is [tex]66\ cm^{2}[/tex]therefore[tex]31.2\ cm^{2}< 66\ cm^{2}[/tex]case D) the surface area of one base is [tex]15.6\ cm^{2}[/tex]The statement is TrueBecauseThe surface area of one base is [tex]\frac{1}{2}(6)(5.2)=15.6\ cm^{2}[/tex]