Question

Tick (✓) the correct answer
Which of the following numbers is a perfect cube?
(a) 1152
(b) 1331
(c) 2016
(d) 739

Answer 1

(a)
1152 = $2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3={\left(2\right)}^3\times {\left(2\right)}^3\times \left(2\times 3\times 3\right)$.
Hence, 1152 is not a perfect cube.

(b) (✓)
1331 = $11\times 11\times 11={\left(11\right)}^3$
Hence, 1331 is a perfect cube.

(c)
2016 = $2\times 2\times 2\times 2\times 2\times 3\times 3\times 7={\left(2\right)}^3\times 2\times 2\times 3\times 3\times 7$
Hence, 2016 is not a perfect cube.

(d)
739 is not a perfect cube.