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

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.

Step-by-step 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 =
`(mass)/(volume)`

Mass = 2.413kg

We need to convert to g:

1kg = 1000g

2.413kg = 2413g

Volume = L³ = 5³ = 125cm³

Therefore;

Density =
`(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.