Calculating Maximum Rod Pieces
The problem requires finding the maximum number of 17 cm pieces that can be cut from a 960 cm long rod. This is determined by dividing the total rod length by the length of each piece and taking the integer part of the result.
Rod Cutting Calculation
To find the maximum number of pieces, perform the division:
Number of pieces = Total length / Length per piece
Number of pieces = $\frac{960 \text{ cm}}{17 \text{ cm}}$
Division and Remainder
Performing the division:
$ \frac{960}{17} \approx 56.47 $Since only whole pieces can be cut, we take the integer part of the quotient, which is 56.
To confirm, calculate the length used for 56 pieces:
$ 56 \times 17 \text{ cm} = 952 \text{ cm} $The remaining length of the rod is:
$ 960 \text{ cm} - 952 \text{ cm} = 8 \text{ cm} $The remaining 8 cm is shorter than the required 17 cm length, so no additional pieces can be cut.
Conclusion
Therefore, the maximum number of 17 cm pieces that can be cut from a 960 cm rod is 56.
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