Question

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 hexagon. which of the following solids could have resulted in that cross section?
answer
sphere
right hexagonal prism
right pentagonal prism
rectangular prism
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Explanation:

Step1: Analyze the properties of each solid

• A sphere: Any plane - parallel cross - section of a sphere is a circle, not a hexagon.
• A right hexagonal prism: If a plane is parallel to the base (which is a hexagon) of a right hexagonal prism, the cross - section is a hexagon.
• A right pentagonal prism: The base is a pentagon. A plane parallel to the base will give a pentagonal cross - section, not a hexagon.
• A rectangular prism: The base is a rectangle. A plane parallel to the base will give a rectangular cross - section, not a hexagon.

Answer:

right hexagonal prism