The volume of a cube is 512cm 3 . Find the length of its side

MATHEMATICS

WAEC 2014

The volume of a cube is 512cm³. Find the length of its side

A. 6cm
B. 7cm
C. 8cm
D. 9cm

Correct Answer: C. 8cm

Explanation

volume of cube = L x L x L

512cm³ = L³

L³ = 512cm³

L = 3\(\sqrt{512}\)

L (512)^{\(\frac{1}{3}\)}

= (2⁹)^{\(\frac{1}{3}\)}

2³ = 8cm

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