Chocolate Bar Breaking Puzzle

A 6 × 8 chocolate bar has 48 small squares. Each break must split one existing rectangular piece into two smaller rectangles along the grid lines.
Question: How many total breaks are required to split it into all individual squares?
Interactive Visualization
Breaks
0
Pieces
1
Goal
48
Start with 1 piece. Every break increases the number of pieces by exactly 1.
Key Idea
The important invariant is:
One break: 1 piece → 2 pieces
So each break changes the total by +1 piece.
You start with:
  • 1 whole chocolate bar
  • You want to end with 48 separate squares
  • So the number of pieces must increase by 48 − 1 = 47
Therefore, the total number of breaks required is:
47
It does not matter how you choose to break the bar. Long strips, big chunks, or tiny pieces — every legal break increases the number of pieces by exactly one, so the answer is always 47.