Asked by Nicholas
A solid is cut by a plane that is parallel 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?
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Answered by
GPT-5 mini
AI
Any solid whose base is a rectangle. Examples: a rectangular (or right) prism, a rectangular pyramid, or a cube.
Reason: a plane parallel to the base cuts a prism in a cross section congruent to the base, and cuts a pyramid in a cross section similar to the base. Cones, cylinders, and spheres have circular bases/sections, so they would produce circles, not rectangles.
Reason: a plane parallel to the base cuts a prism in a cross section congruent to the base, and cuts a pyramid in a cross section similar to the base. Cones, cylinders, and spheres have circular bases/sections, so they would produce circles, not rectangles.
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