Kayla’s work to find the surface area of a composite solid formed when a rectangular prism and rectangular pyramid are joined at their bases is shown below.
sa = 2 [(5)(7)] + 2 [(6)(7)] + 2 {tex]\frac{1}{2}[/tex(5)(9.3)] + 2 [[tex]\frac{1}{2}[/tex(6)(9.2)] = 255.7

The surface area of the composite figure is

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the lateral area of the rectangular prism plus the area of the base of rectangular prism plus the lateral area of the pyramid

Karla in her work does not consider the area of the base of the rectangular prism.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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