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

Question

Talan Reed

Mathematics

28 November, 12:45

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

+1

Answers (1)

Know the Answer?

Kingston Powers · Answer 1

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.