Question

You are at a shop, and the clerk shows you a golden-colored cube. The clerk says it is gold and offers it to you for $100. You remember from science class that gold has a density of almost 20 g/cm³. You measure the cube and find that it is 2 cm on each side and weighs 40 g. What is its density? Is it gold?

Answer 1

The density of the cube is 5 g/cm³, which is not the same as the density of gold (19.3 g/cm³), so the cube is not gold.

Step-by-step explanation:

The density of the cube can be calculated by dividing the mass of the cube by its volume.

The mass of the cube is given as 40 g.

The volume of the cube can be calculated by multiplying the length of one side by itself three times (since a cube has equal sides).

So, the volume of the cube is 2 cm x 2 cm x 2 cm = 8 cm³.

The density can be calculated by dividing the mass (40 g) by the volume (8 cm³).

So, the density of the cube is 40 g / 8 cm³ = 5 g/cm³.

Since the density of gold is around 19.3 g/cm³, and the cube has a density of 5 g/cm³, it is not gold.