Question:

Which of the following numbers is a perfect cube?

(a) 141

(b) 294

(c) 216

(d) 496

Solution:

(a)
141 is not a perfect cube.

(b)
294 is not a perfect cube.

(c) (✓)
216 is a perfect cube.

$216=(2 \times 2 \times 2) \times(3 \times 3 \times 3)=\left(2^{3}\right) \times\left(3^{3}\right)=6^{3}$

(d)
496 is not a perfect cube.