Question

Which of the following cross-section(s) could be produced by cutting a cube with a plane?

• A. Square
• B. Triangle
• C. Pentagon
• D. Hexagon

Hint:

When cutting a cube with a plane, the resulting shape can be a square or triangle depending on the orientation of the cut.

Answer 1

The Correct Option is A, B

Step 1: Understanding the cube's geometry.
A cube has square faces and the sections made by cutting it with a plane will often result in squares or triangles. The exact shape of the cross-section depends on the angle and position of the cut.
Step 2: Analyzing the options.
- (A) Square: A plane cutting through a cube parallel to its faces will produce a square cross-section, which is possible. - (B) Triangle: A diagonal cut through the cube can produce a triangular cross-section. - (C) Pentagon: A pentagon cannot be formed by cutting a cube. - (D) Hexagon: Similarly, a hexagon cannot be formed by cutting a cube.
\[ \boxed{(A) \text{ and } (B) are correct.} \]