Question

what is the volume of liquid if it has a density of 1.2 g/ml and a mass of 240 g.
solve: $v = \frac{m}{d}$
$v = \frac{240\text{g}}{1.2\frac{\text{g}}{\text{ml}}} = 200$ (units)
what variable are you solving for?
what would the units of the answer be?
does this answer make sense?

Explanation:

• The formula \(V=\frac{m}{d}\) is used, where \(m\) is mass and \(d\) is density. We are solving for \(V\) (volume).
• For units: mass \(m = 240g\), density \(d=1.2\frac{g}{mL}\). When calculating \(V=\frac{m}{d}=\frac{240g}{1.2\frac{g}{mL}}\), the \(g\) units cancel out (\(\frac{g}{\frac{g}{mL}}=mL\)).
• Checking sense: If density is \(1.2g/mL\) (1.2 grams per 1 - milliliter), for 240 grams, \(240\div1.2 = 200\). Since density is mass per unit volume, dividing mass by density gives volume, and the value and unit are reasonable.

Answer:

• What variable are you solving for? \(V\) (volume)
• What would the units of the answer be? \(mL\)
• Does this answer make sense? Yes