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Select the correct answer.
Which three-dimensional figure has a cross section in the shape of a trapezoid if it is sliced by a plane that is parallel to a side other than its base?
A. a cube
B. a rectangular prism
C. a square pyramid
D. a right rectangular prism

Select the correct answer. $\newline$ Which three-dimensional figure has a cross section in the shape of a trapezoid if it is sliced by a plane that is parallel to a side other than its base? $\newline$ A. a cube $\newline$ B. a rectangular prism $\newline$ C. a square pyramid $\newline$ D. a right rectangular prism

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Scale drawings: scale factor word problems

Full solution

Q. Select the correct answer.

\newline

Which three-dimensional figure has a cross section in the shape of a trapezoid if it is sliced by a plane that is parallel to a side other than its base?

\newline

A. a cube

\newline

B. a rectangular prism

\newline

C. a square pyramid

\newline

D. a right rectangular prism

Visualize Shapes: To solve this problem, we need to visualize each three-dimensional figure and consider what shape would result from slicing it with a plane parallel to one of its sides.
Cube Slicing: A cube has $6$ faces, all of which are squares. If you slice a cube with a plane parallel to one of its faces, you would get a square or a rectangle, not a trapezoid.
Rectangular Prism Slicing: A rectangular prism has $6$ faces, all of which are rectangles. If you slice a rectangular prism with a plane parallel to one of its faces, you would get a rectangle, not a trapezoid.
Square Pyramid Slicing: A square pyramid has a square base and four triangular faces. If you slice a square pyramid with a plane parallel to one of its triangular faces but not parallel to the base, you could get a trapezoid. This is because the cross section would be bounded by two parallel lines (the cut edges parallel to the base of the pyramid) and two non-parallel lines (the sloping edges of the pyramid).
Right Rectangular Prism Slicing: A right rectangular prism is similar to a rectangular prism and has all rectangular faces. If you slice a right rectangular prism with a plane parallel to one of its faces, you would get a rectangle, not a trapezoid.

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\newline

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\newline

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\newline

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\newline

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\newline

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\newline

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\newline

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\newline

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\mathrm{Cleo}

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\newline

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\newline

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\newline

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