Yes because 3*3*3 = 27
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729, cube of 9 and square of 27
27 3x3x3 = 27
It is both because 27*27 = 729 and 9*9*9 = 729
A perfect cube is the cube of an integer (whole number). This means that, for n to be a perfect cube, n = x3, x∈ℤ Eg. ±1 [=(±1)3], 8 [=(±2)3], ±27 [= (±3)3], etc.
If by cube you mean perfect cube (a cube of an integer), then no, and the nearest perfect cube is 81.