Question: How Many Squares are there in a Chess Board?
- 64
- 204
- 128
- 400
Answer: (B) 204
How Many Squares are there in a Chess Board? Solution: A standard chessboard consists of 8 rows and 8 columns, each containing 8 squares. Therefore, the total number of squares on the board is 8 x 8 = 64. However, there are also smaller squares that can be formed by combining adjacent squares. For instance, there are 49 squares formed by combining 2×2 squares, 36 squares formed by combining 3×3 squares, and so on.
To determine the total number of squares, we can systematically count the squares of each possible size, starting from the smallest:
- 64 1×1 squares
- 49 2×2 squares
- 36 3×3 squares
- 25 4×4 squares
- 16 5×5 squares
- 9 6×6 squares
- 4 7×7 squares
- 1 8×8 square
Adding up the squares of all sizes, we arrive at the total number of squares on a chessboard:
64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204 squares
How Many Squares are there in a Chess Board?
- There are a total of 204 squares on a standard chessboard.
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