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23-04-2024
Mathematics

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A solid is cut by a plane that is parallel to its base, forming a two-dimensional cross section in
the shape of a pentagon. Which of the following solids could have resulted in that cross
section?
Answer
Oright pentagonal prism
right cone
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right triangular prism
right cylinder

Answer :

GinnyAnswer GinnyAnswer

23-04-2024

The correct answer to the question is a "right pentagonal prism." Here's a breakdown to help you understand why this solid could result in a two-dimensional cross section in the shape of a pentagon: 1. A right pentagonal prism is a three-dimensional shape that has two pentagonal bases that are parallel to each other. When you cut this prism with a plane parallel to one of its bases, the resulting cross section will be a pentagon. 2. The other options, such as a right cone, right triangular prism, and right cylinder, do not have pentagonal bases. Therefore, they would not produce a pentagonal cross section when cut by a plane parallel to their bases. Understanding the basic characteristics and shapes of these solids can help you visualize how they would appear when cut by a plane. In this case, the right pentagonal prism fits the criteria for producing a pentagonal cross section.

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