Answer:
16×max case < min box
Explanation:
You want to show that 16 cases 1.6 cm thick might not fit in a box 26 cm long if the case dimension is rounded to the nearest mm, and the box dimension is rounded to the nearest cm.
Maximum case
The largest the case can be and have its dimension rounded to 1.6 cm is ...
1.6 cm + 0.04999... cm = 1.64999... cm ≈ 1.65 cm
Then 16 of them will have a maximum thickness of ...
16 × 1.65 cm = 26.4 cm
Minimum box
The smallest the box can be and have its dimension rounded to 26 cm is ...
26 cm - 0.5 cm = 25.5 cm
Difference
The difference between the minimum box length and the maximum length of 16 cases is ...
25.5 cm -26.4 cm = -0.9 cm
The box could be as much as 0.9 cm too short to hold 16 disc cases.
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Additional comment
Whether this is a problem or not depends on the distribution of box and case sizes, and their correlation within a batch of cases.
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