Question

Can you tell me if this is a poorly worded question?

I don’t think you can say that something is denser than something else simply because it has less volume and less mass.
Example: If I had a cube with a side length of 2cm and a mass of 2 grams it would be LESS dense than the other cubes even though it has less volume and less amount of mass.

Answer 1

NONE of the choices is a correct answer.

Density is (mass) DIVIDED BY (volume).

The volume of the black cube is

2 x 2 x 2 = 8 cm^3

It's density is 48/8 = 6 gm/cm^3

The volume of the yellow cube is

3 x 3 x 3 = 27 cm^3

Its density is 135/27 = 5 gm/cm^3

The black one is denser because the RATIO of its mass to its volume is greater.

The cubes are made of different substances.

The density only depends on the substance. It doesn't matter HOW MUCH of the substance there is. It's the RATIO that counts.

The black one would be denser even if one cube or the other was the size of a supertanker.