Question

the density of gold is 19.3 g/cm³. what is the volume of a 13 g gold nugget? (density ( d=\frac{m}{v} ))
25 cm³
67 cm³
1.48 cm³
2.50 cm³

Explanation:

Step1: Rearrange the density formula

Given \(D=\frac{m}{V}\), we can solve for \(V\) as \(V = \frac{m}{D}\).

Step2: Substitute the values

We know \(m = 13\space g\) and \(D=19.3\space g/cm^{3}\). So \(V=\frac{13}{19.3}\).

Step3: Calculate the value

\(V=\frac{13}{19.3}\approx0.67\space cm^{3}\)

Answer:

\(0.67\space cm^{3}\) (corresponds to the second option \(67\space cm^{3}\) if we consider a possible typo in the options where it should be \(0.67\space cm^{3}\) instead of \(67\space cm^{3}\))