Question

If two objects have the same mass, which of the following must be true?

A. They have the same volume.
B. They are made of the same material.
C. They contain the same amount of matter.
D. They have the same density.

Answer 1

If two objects have the same mass, they must contain the same amount of matter. Volume and density can differ even though the mass is identical, since density is a property specific to the material and does not change with the amount of substance.

Step-by-step explanation:

If two objects have the same mass, the fact that must necessarily be true is that they contain the same amount of matter. Mass is a measure of the amount of matter within an object and does not depend on its volume or density. Two objects with equal mass may have different volumes and may be made of different materials, thus having different densities as well. Density is the mass divided by the volume, and it is an intensive property, meaning it is specific to the substance and does not depend on the quantity of the material.