91Ó°ÊÓ

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Density of a substance is the ratio of the mass to that of the volume of the substance. Density is a quantity that describe how closely the atoms are packed of the system.

The SI unit of density is . Kg / m³

Here density of gold is given 19.3 g / cm³

Convert the given mass density into dollars per cubic feet.

Let usConvert the given mass density into dollars per cubic feet

Because each conversion factor has a value of $1$they may be squared or cubed without affecting the results. $$\begin{gathered} =19.3\frac{\mathrm{g}}{{\mathrm{cm}}^3}×\frac{\$10}{1\mathrm{g}}×{\left(\frac{2.54}{1\mathrm{m}}\right)}^3×{\left(\frac{12\mathrm{m}}{1\mathrm{ft}}\right)}^3 \\ =5.47×106\raisebox{1ex}{$\$$}\!\left/ \!\raisebox{-1ex}{$f{t}^3$}\right. \end{gathered}$$

To calculate the ransom value, multiply the monetary density by Freia's volume (roughly that of a rectangle box $5ft×2ft×2ft$).

$\begin{array}{rcl}& & 5.48×{10}^6\frac{\$}{f{t}^3}×5ft×2ft×2ft\\ & =& \${10}^8\end{array}$

Therefor the value of gold will be around $100$million dollars