Three cubes have edges of lengths 4,5 and 6 .

The average (mean) of their volumes is
(A) 120
(B) 125
(C) 1125
(D) 261
(E) 135

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-104.jpg?height=249&width=379&top_left_y=1220&top_left_x=1293)
Since the edge lengths of three cubes are 4,5 and 6 , then their volumes are $4^{3}=64,5^{3}=125$, and $6^{3}=216$, respectively.

Thus, their mean volume is $\frac{64+125+216}{3}=\frac{405}{3}=135$.

ANswer: (E)