The volume of a cubical box is 474.552 cubic meters the length of the each side of the box is

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7.4 m

7.2 m

7.6 m

7.8 m

answer is D.

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Detailed Solution

Volume of cube

= a^{3} = 474.552

$a = \sqrt[3]{474.552} \Rightarrow a = \sqrt[3]{474.552} = \sqrt[3]{\frac{474552}{1000}} = \sqrt[3]{\frac{2^{3} \times 3^{3} \times 13^{3}}{10^{3}}} = \frac{78}{10} = 7.8$

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