A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a rectangle. Which of the following solids could have resulted in that cross section? $\newline$ right cylinder $\newline$ rectangular pyramid $\newline$ sphere $\newline$ right cone

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Q. A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a rectangle. Which of the following solids could have resulted in that cross section?

\newline

right cylinder

\newline

rectangular pyramid

\newline

sphere

\newline

right cone

Identify characteristics: Identify the characteristics of the cross section. A two-dimensional cross section in the shape of a rectangle suggests that the solid must have a uniform cross section when cut by a plane perpendicular to its base.
Analyze right cylinder: Analyze the right cylinder. A right cylinder, when cut by a plane perpendicular to its base, will result in a circular cross section if the cut is parallel to the base, but if the cut is through the height and along the diameter of the base, the cross section will be a rectangle. This matches the description given in the question prompt.
Analyze rectangular pyramid: Analyze the rectangular pyramid. A rectangular pyramid, when cut by a plane perpendicular to its base, will not result in a rectangular cross section. The cross section of a pyramid is typically a triangle or a trapezoid, depending on the location of the cut.
Analyze sphere: Analyze the sphere. A sphere, when cut by any plane, will always result in a circular cross section. Therefore, it cannot result in a rectangular cross section.
Analyze right cone: Analyze the right cone. A right cone, when cut by a plane perpendicular to its base, will result in a circular cross section if the cut is parallel to the base, but if the cut is through the height and off-center, the cross section will be an ellipse, not a rectangle.