Question

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

Answer 1

B-She left out one of faces of the solid. She should have simplified

Explanation:

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Answer 2

The surface area of the composite figure is
`285.7\ units^(2)`

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

`SA=2(5+6)(7)+(5)(6)+2[(1)/(2)(6)(9.2)] +2[(1)/(2)(5)(9.3)]\\ \\SA=154+30+55.2+46.5\\ \\SA=285.7\ units^(2)`

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