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Think About the Process  To what side of the prism does side x of the vertical cross section​ correspond? To what side of the prism does side y​ correspond? What are the dimensions of x and​ y? Note that the figure is not drawn to scale.

2 ft
6 ft
8 ft
x
y
Question content area bottom
Part 1
To which side of the prism does side x of the vertical cross section​ correspond?
A.
The​ width, which is equal to 6 ft
B.
The​ length, which is equal to 8 ft
C.
The​ height, which is equal to 2 ft
Your answer is correct.
Part 2
To which side of the prism does side y of the vertical cross section​ correspond?
A.
The​ length, which is equal to 8 ft
B.
The​ height, which is equal to 2 ft
C.
The​ width, which is equal to 6 ft

1 answer

To determine the correspondences of side \(x\) and side \(y\) in the vertical cross section of the prism, let's analyze the dimensions provided:

  • Height = 2 ft
  • Width = 6 ft
  • Length = 8 ft

Part 1: To which side of the prism does side \(x\) of the vertical cross section correspond?

Given the options:

  • A. The width, which is equal to 6 ft
  • B. The length, which is equal to 8 ft
  • C. The height, which is equal to 2 ft

Since you noted that "Your answer is correct" regarding Part 1, it seems that side \(x\) corresponds to:

C. The height, which is equal to 2 ft.

Part 2: To which side of the prism does side \(y\) of the vertical cross section correspond?

Given the options:

  • A. The length, which is equal to 8 ft
  • B. The height, which is equal to 2 ft
  • C. The width, which is equal to 6 ft

Since side \(y\) is the other dimension in the vertical cross section not identified as \(x\) (which is the height), side \(y\) would correspond to either the width or length.

Given that the height is already matched to side \(x\) (2 ft), the remaining dimensions imply that side \(y\) must correspond to:

A. The length, which is equal to 8 ft.

Thus, side \(y\) corresponds to the length of the prism.