9514 1404 393
Answer:
the cubes of interest are the cubes of 5, 6, 7, 8, 9 — a list with 5 elements
Step-by-step explanation:
The integers that have 3-digit cubes will be between ...
∛100 = 4.6 and ∛999 = 9.99
That is, the 3-digit cubes will be the cubes of 5, 6, 7, 8, 9. There are exactly 5 numbers on this list.
5³ = 125
6³ = 216
7³ = 343
8³ = 512
9³ = 729
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Just to be sure, we can check values beyond the range:
4³ = 64, a 2-digit cube
10³ = 1000, a 4-digit cube
