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a solid is cut by a plane that is parallel to its base, forming a two -…

Question

a solid is cut by a plane that is parallel to its base, forming a two - dimensional cross section in the shape of a square. which of the following solids could have resulted in that cross section?

Explanation:

Step1: Analyze cross - section of each solid

  • Solid A: A pyramid - like solid. If a plane parallel to its base cuts it, the cross - section is a triangle (similar to the base, but smaller in size).
  • Solid B: A cube (a special case of a rectangular prism). When a plane parallel to its base (which is a square) cuts it, the cross - section is a square.
  • Solid C: A cylinder. A plane parallel to its base cuts it to get a circular cross - section.
  • Solid D: A double - pyramid (two pyramids joined at their bases). A plane parallel to its base (which is a triangle) cuts it to get a triangular cross - section.

Answer:

B.