Question

Q2. A cube of side 2 cm has a density of 6 g cm. What is the mass of the cube?

Answer 1

`given \: the \: length \: of \: one \: side \: of \: a \: cube \: \\ = 2cm \\ so \: we \: know \: the \: volume \: of \: a \: cube \: = {side}^(3) \\ so \: the \: volume \: of \: the \: cube \: here \: = {2}^(3) {cm}^(3) = \: 8 {cm}^(3) \\ we \: know \: density \: of \: a \: substance \: = \: (mass)/(volume) \\so \: mass \: = density * volume \\ density = 6 \frac{g}{ {cm}^(3) } \\ volume \: = 8 {cm}^(3) \\ so \: \: mass \: = (6 * 8)( {cm}^(3) * \frac{g}{ {cm}^(3) }) \\ 48gram \: (ans)`

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