Question

Kaylas work to find the surface area of a composite soild formed when a rectangular prism and rectangular pyramid are joined at their bases is shown below what statement describes kaylas error

a. she used the wrong expression for the lateral faces of the solid. she should have simplified
2[1/2(5)(7+9.3)]+2[1/2(6)(7+9.2]

b. she left out one of the faces of the solid she should have simplified 2((5)(7))+2((6)(7))+2[1/2(5)(9.3)]+2[1/2(6)(9.2)]+(5)(6)

c.she used the wrong expression for the lateral faces of the solid and left out the base of the figure. she should have simplified 2[1/2(5)(7+9.3)]+2[1/2(6)(7+9.2)]+(5)(6)

d she included the face where the pyramid and prism are joined together she should have simplified 2((5)(7))+2((6)(7))+2[1/2(7)(9.3)]+2[1/2(6)(9.2)]-2((5)(6))​

Answer 1

option B

Explanation:

Answer 2

Option b. she left out one of the faces of the solid she should have simplified 2((5)(7))+2((6)(7))+2[1/2(5)(9.3)]+2[1/2(6)(9.2)]+(5)(6)

Explanation:

we know that

The surface area of the composite figure is equal to the surface area of the pyramid not including the base plus the surface area of the prism not including the top

so

`SA=2((5)(7))+2((6)(7))+((5)(6))+2((1)/(2)(5)(9.3))+2((1)/(2)(6)(9.2))`

`SA=285.7\ units^(2)`