Question

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Answer 1

`\boxed{Length \: of \: each \: side \: of \: cube = 5.2 \: mm}`

Given:

Volume of cube = 140.608 cubic millimetres

Explanation:

Let the length of each side of cube = a

`= > Volume \: of \: cube = {a}^(3) \\ \\ = > 140.608 = {a}^(3) \\ \\ = > {a}^(3) = 140.608 \\ \\ = > {a}^{ \cancel{3}} = {5.2}^{ \cancel{3}} \\ \\ = > a = 5.2`

Therefore length of each side of cube = 5.2 mm