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Which of the following numbers is a perfect cube

a) 141
b) 294
c) 216
d) 496

1 Answer

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Best answer

Firstly we have to find the factors for the above numbers

∛141 = \(\sqrt[3]{(3 × 47)}\)

∛294 = \(\sqrt[3]{(2 × 3 × 7 × 7)}\)

∛216 = \(\sqrt[3]{(6 × 6 × 6)}\)

∛496 = \(\sqrt[3]{(2 × 2 × 2 × 2 × 31)}\) 

From the above results, 216 has the perfect cube factors.

∴ 216 is the perfect cube.

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