Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

Which of the following numbers is a perfect cube?

(a) 1152

(b) 1331

(c) 2016

(d) 739

Solution:

(a) 

$1152=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3=(2)^{3} \times(2)^{3} \times(2 \times 3 \times 3)$

Hence, 1152 is not a perfect cube.

(b) (✓)

$1331=11 \times 11 \times 11=(11)^{3}$

Hence, 1331 is a perfect cube.

(c)

$2016=2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7=(2)^{3} \times 2 \times 2 \times 3 \times 3 \times 7$

Hence, 2016 is not a perfect cube.

(d)
739 is not a perfect cube.

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