Question

$100, saying that it's a gold nugget. You pull out your old geology text and
look up gold in the mineral table, and read that its density is 19.3 g/cm3. You
measure the cube and find that it is 5 cm on each side, and has a mass of 2.413 kg.
What is its density? Is it gold? Should you buy it?

Answer 1

Answer:

The density of the nugget is  19.3g/cm³  

It is gold because all samples of gold will have the same density value

You should buy it.

Explanation:

Given parameters:

Density of gold  = 19.3g/cm³

Length on all sides  = 5cm

Mass in kg  = 2.413kg

Unknown:

Density = ?

Is it gold = ?

Should you buy it = ?

Solution:

To solve this problem, we need to find the density of the nugget first.

   Density  = $\frac{mass}{volume}$  

  Mass  = 2.413kg

         We need to convert to g:

                 1kg  = 1000g

              2.413kg  = 2413g

 Volume  = L³ = 5³   = 125cm³  

Therefore;

      Density  = $\frac{2413}{125}$   = 19.3g/cm³  

The density of the nugget is  19.3g/cm³  

It is gold because all samples of gold will have the same density value

You should buy it.