A 330 cm metal rod is to be cut into as many equal pieces as possible, each piece being exactly 13.2 cm long. How many pieces can be obtained?

Introduction / Context:This is a direct division problem involving lengths with decimals. It checks the ability to divide a total length by the length per piece to find the maximum number of equal pieces with no remainder left over.

Given Data / Assumptions:

• Total rod length = 330 cm.
• Length of each piece = 13.2 cm.
• All pieces must be exactly equal in length.

Concept / Approach:Number of pieces = total length / piece length. Since both numbers are given in centimetres, no unit conversion is needed. We expect an integer if the division is exact.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 28, 21, 35, 22: These are common guesses when dividing, but none reproduce the exact total length when multiplied back by 13.2 cm.

Common Pitfalls:

• Losing track of the decimal place in 13.2.
• Rounding 13.2 to 13 or 14, which gives an incorrect count.

Final Answer:25