The number of squares on a chessboard includes not only the individual 1x1 squares, but also larger squares like 2x2, 3x3, up to 8x8. To calculate the total number of squares that can be formed on a standard 8x8 chessboard:

• 1x1 squares: There are $8 \times 8 = 64$ of these.
• 2x2 squares: There are $7 \times 7 = 49$ of these.
• 3x3 squares: There are $6 \times 6 = 36$ of these.
• 4x4 squares: There are $5 \times 5 = 25$ of these.
• 5x5 squares: There are $4 \times 4 = 16$ of these.
• 6x6 squares: There are $3 \times 3 = 9$ of these.
• 7x7 squares: There are $2 \times 2 = 4$ of these.
• 8x8 square: There is $1$ of these.

Summing these values:

$64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204$

Thus, the correct number of squares that can be formed on a chessboard is 204.

Would you like more details or have any questions?

Here are 5 related questions for you to explore:

1. How would the total number of squares change for a 10x10 board?
2. What is the total number of rectangles on a chessboard?
3. Can you generalize this approach to an $n \times n$ chessboard?
4. How many distinct diagonals can be formed on a chessboard?
5. How many ways can you arrange 2 rooks on a chessboard such that they don't attack each other?

Tip: When calculating areas on grids, always think beyond just individual cells—look for larger structures too!