Question

If Gold has a density of 19.3 g/mL, How much would a bar of gold that is 1.20 cm wide, 1.60 cm high and 23.0 cm long weigh in grams?

Answer 1

The formula we are going to use is:

`\rho=(m)/(V)`

Where

p is density, in g/mL

m is mass, in grams

V is volume, in mL or cm^3

Density is given and we have to find the volume.

The gold bar is in a shape of rectangular prism, so we need to multiply the width, height, and length (given) of the gold bar to find its volume. Let's do it:

Now, we substitute and solve for m, the mass (weight) in grams:

`\begin{gathered} \rho=(m)/(V) \\ 19.3=(m)/(44.16) \\ m=19.3*44.16 \\ m=852.288\text{grams} \end{gathered}`

The mass is abut 852.29 grams