# Gold has a density of 19.3 g/cm^3. A cube of gold measure's 4.23 cm on each edge. What is the volume of the cube?

May 30, 2018

Well, $\text{volume} \equiv {\left(4.23 \cdot c m\right)}^{3}$...i.e. the CUBE of the edge length...

#### Explanation:

Given the terms of the question, I suspect they wanted the MASS of the cube....

$\text{Volume} = 75.7 \cdot c {m}^{3}$

And given that ${\rho}_{\text{density"="Mass"/"Volume}}$

And thus we got...….

$\text{mass"="volume"xxrho_"Au} = 75.7 \cdot c {m}^{3} \times 19.3 \cdot g \cdot c {m}^{-} 3 = 1460.8 \cdot g .$

The current price of gold is...$41 - 86 \cdot \text{USD} \cdot {g}^{-} 1$..what is your nugget worth...