Geometry

Question Analysis

This question involves the concept of skew lines in geometry. The main focus is on understanding that skew lines are non-coplanar and do not intersect, and then determining which of the given figures can potentially have such lines based on their dimensionality and structure.

Key Concept Explanation:

Skew lines are non-coplanar lines that do not intersect and exist in three-dimensional space. In three-dimensional space, there are multiple planes, and it is possible to have lines that are not in the same plane and do not intersect, which are skew lines. In a two-dimensional space, all lines lie within the same plane. They must either intersect or be parallel; no skew lines exist.

Option Analysis

The figure that can have skew lines is Option C: A cube. It is a three-dimensional figure, has the necessary structure with multiple planes and edges that can be non-coplanar and non-intersecting, allowing for the existence of skew lines. <...