Question

The density of aluminum is 2.7 g/ml. if the aluminum has a volume of 10 ml, what is the mass of the aluminum?

Answer 1

density x volume = mass
2.7 x 10 = 27g

Answer 2

• Answer:

`\Large{\boxed{\sf m = 27 \: g}}`

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• Step-by-step explanation:

To find the mass of the aluminium, knowing its density and the volume it occupies, we can use the following formula:

`\Large{\sf \rho = (m)/(V)}`

Where:

• ρ is the density.
• m is the mass.
• V is the volume.

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Rearrange the formula to express m in terms of ρ and V:

`\sf \rho = (m)/(V) \Longleftrightarrow \rho * V = (m)/(V) \Longleftrightarrow \rho * V = m`

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`\Large{\boxed{\sf Given \text{:} } \begin{cases} \sf \rho &=\sf 2.7 \: g/mL \\ \sf V &=\sf 10 \: mL \\ \end{cases}}`

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Substitute these values into our formula:

`\sf m = \underbrace{\sf 2.7g/mL}_(\sf \rho) * \overbrace{\sf 10mL}^(\sf V) \\ \\ \\ \implies \boxed{\boxed{\sf m = 270 \: g}}`