A perfect cube can be expressed as a product of three numbers of equal factors
Now by resolving the given number into prime factors we get,
8000 = 3 × 3 × 3 × 7 × 7× 7
As we can group the above factors into three groups of cubes i.e. 33, 73
We express it as, 33 × 73 = 213
∴ 9261 is a perfect cube.