215k views
5 votes
The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance can the cross section be a non-rectangular parallelogram?

when the plane cuts three faces of the cube, separating one corner from the others

when the plane passes through a pair of vertices that do not share a common face


when the plane is perpendicular to the base and intersects two adjacent vertical faces


when the plane makes an acute angle to the base and intersects three vertical faces


not enough information to answer the question

User Sector
by
7.6k points

2 Answers

5 votes

Answer:

4th one

Explanation:

got it right on the test.

User ICaramba
by
7.0k points
2 votes
Based on the given question above, the correct answer would be the fourth option. The circumstance that the cross section can be a non-rectangular parallelogram is that, when the plane makes an acute angle to the base and intersects three vertical faces. Hope this answers the question.
User Mihir Mehta
by
7.8k points