Calculating Maximum Rod Pieces
The problem asks for the maximum number of smaller pieces, each 34.6 cm long, that can be cut from a longer rod measuring 658 cm.
Finding the Number of Pieces
To determine the maximum number of pieces, divide the total length of the rod by the length of each individual piece.
Number of pieces = Total Rod Length / Length per Piece
Using LaTeX for the calculation:
Number of pieces = $\frac{658 \, \text{cm}}{34.6 \, \text{cm}}$
Performing the Division
Calculate the division:
$658 \div 34.6 \approx 19.01734$
Since only whole pieces can be cut, we take the integer part of the result. This means we round down to the nearest whole number.
Final Result
The maximum number of 34.6 cm pieces that can be cut from a 658 cm rod is 19.
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