What is the maximum number of identical pieces a cube can be cut into by 2 cuts?a.1b.3c.4d.2

Break Down the Problem

1. We need to determine how many identical pieces a cube can be divided into with 2 cuts.
2. Consider the orientation and placement of each cut.

Relevant Concepts

1. Each cut can potentially increase the number of pieces based on how they intersect.

Analysis and Detail

1. First Cut:

   • The first cut can slice the cube into 2 identical pieces.

2. Second Cut:

   • The second cut can intersect the first cut. If placed correctly, this cut can bisect each of the 2 pieces made from the first cut.
   • If the second cut is made parallel to the first cut, it will not increase the number of pieces beyond 2.
   • However, if the second cut intersects the first cut, it can potentially double the amount, leading to 4 pieces.

Verify and Summarize

• After analyzing the placement of the cuts, the maximum number of identical pieces produced by 2 cuts in a cube is indeed 4, provided that the cuts intersect.

Final Answer

The maximum number of identical pieces a cube can be cut into by 2 cuts is 4 (Option c).