MathBank
Arithmetic
medium

2(b) Can 5 Boxes Fit in 60 cm Shelf

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10/23/2025
Problem
The height of a box is measured to be 11 cm, correct to the nearest 0.5 cm. Is it possible for a stack of 5 identical boxes to fit in a shelf of height 60 cm? Explain your answer.
Solution

Hints:

No, it is not possible.

Upper limit of one box = 11.25 \\text{ cm}. For 5 boxes: 5 \\times 11.25 = 56.25 \\text{ cm}, which is less than 60 \\text{ cm}, but this assumes maximum height. The measured height is 11 \\text{ cm}, so the stack could be up to 5 \\times 11.25 = 56.25 \\text{ cm} or as low as 5 \\times 10.75 = 53.75 \\text{ cm}. Since 56.25 \\text{ cm} is close to 60 \\text{ cm}, and the actual height could be slightly higher due to measurement error, it’s not guaranteed to fit.

Tags

measurement
limits
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