asked 13.4k views
5 votes
A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed? A. a pentagon with one pair of equal sides B. a trapezoid with one pair of parallel sides C. a rectangle D. a triangle E. a hexagon

2 Answers

3 votes

Answer:

E

Explanation:

answered
User Evan Aad
by
8.0k points
6 votes

Answer: C. A rectangle.

Explanation:

1. By definition, a cross section is the intersection of a plane and a body of three dimensions.

2. A pentagonal prism has a pentagon as its base and its lateral faces are rectangles.

3. If the pentagonal prism is cut by a plane perpendicular to the base, this means that the plane is parallel to lateral faces, then, the shape of the cross section that is formed is also a rectangle.

4. The answer is the option C.

answered
User Nicola Spadari
by
8.7k points
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