Question

a cube is shown.
how can the cube be cut so that the cross section is a rectangle (but not a square)?
cut perpendicular to dropdown options: the base and parallel to a face, a face, the base and not parallel to a face

Explanation:

Step1: Analyze each option

• Option 1: "the base and parallel to a face" — Cutting parallel to a face of a cube (which is a square) will result in a square cross - section, not a non - square rectangle.
• Option 2: "a face" — Cutting along a face doesn't create a cross - section in the sense of a new shape; it's just following the face, and the cross - section would be a square (the face itself).
• Option 3: "the base and not parallel to a face" — When we cut a cube perpendicular to the base and not parallel to any face, the cross - section will have length and width of different measures (since it's not parallel to the square faces), resulting in a rectangle that is not a square.

Answer:

the base and not parallel to a face