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The box is said to be a 24inch box. That cannot be its volume since inches are a linear measure, not a unit for measuring volume. Furthermore, there are no units given for the height or width. Therefore, it is impossible to answer the question with any degree of certainty.

There are two possibilities:

One is that the sum of the three linear measures is 24: this is how some airlines specify the maximum size of carry on luggage. Thus, L + 2 + 3 = 24 so that L = 19 inches.

The other is that the maximum dimension: the major diagonal is 24 inches. Then, by the 3-d version of Pythagoras,

242 = L2 + 22 + 32 so that L2 = 563 and L = 23.73 inches.

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Q: What is the length of 24in box height 2 width 3?
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