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
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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

1 answer

To determine which side of the prism corresponds to side \(x\) of the vertical cross section, we need to analyze the dimensions provided:

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

A vertical cross section will typically show the height and one of the horizontal dimensions (width or length).

Let's consider 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

To answer the question regarding side \(x\), we would examine which of the given dimensions this corresponds to based on the usual layout of a vertical cross-section:

If side \(x\) is representing a vertical measure, it would correspond to the height.

If \(x\) represents a horizontal dimension, it could represent either the width or length.

Without having the actual figure to refer to, it's a bit tricky, but typically in a vertical cross-section involving a prism, height is one of the visible dimensions, along with either the width or length depending on the orientation of the cross section.

If we assume that side \(x\) represents a vertical measure, then:

Answer:

  • The correct choice is C. The height, which is equal to 2 ft.

You would need to analyze side \(y\) similarly once \(x\) is identified. If side \(y\) runs horizontally, depending on the vertical orientation, it could represent either width or length.