Two objects of the same size will always have the same mass?

The two objects of the same size will always have the same mass is incorrect. The size and mass are two different variables that are not interdependent on each other.

The mass of an object can be defined as the volume per unit density, while the size can be defined as the area occupied by the object.

The objects that have the same mass can be molded into the same size when the densities of the object are near to each other. While the objects of the same size do not compulsorily have the same mass as the density of the objects varies.

For example, 1 kg of cotton, and 1 kg of iron, both have the same mass, however, the size of cotton has been far greater than the size of iron.

Thus it has been evident that the two objects of the same size will always have the same mass is incorrect.

For more information about objects of the same size, refer to the link:

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No, not all two objects that are the same size always have the same mass...

Explanation:

The mass of an object is equal to its volume times the (average) density. Two objects of the same size can have different masses, and can have the same mass when very different in size: it's all in the different densities.

It just depends... It can have the same mass or it cannot...

But to answer this question the answer is No