Question

Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?

Select all that apply.

Answer 1

• hexagon
• rectangle
• square
• triangle
• pentagon

Explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

What polygons are possible?

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

triangle, rectangle, square, pentagon, hexagon

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The attachment shows some possibilities.