Which of the following are the cubes of even numbers?

The cubes of even numbers are always even. Therefore, 216, 512 and 1000 are the cubes of even numbers.

$216=2 \times 2 \times 2 \times 3 \times 3 \times 3=2^{3} \times 3^{3}=6^{3}$

$512=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2=2^{3} \times 2^{3} \times 2^{3}=8^{3}$

$1000=2 \times 2 \times 2 \times 5 \times 5 \times 5=2^{3} \times 5^{3}=10^{3}$