The amount of space that a object occupies represents its density

The amount of space that a object occupies represents its density. True False

The correct answer and explanation is:

The statement is False.

Density is not determined by the amount of space an object occupies alone. Instead, it is a physical property defined as the mass of an object per unit volume. Mathematically, density (ρ) is expressed as: ρ=mV\rho = \frac{m}{V}

Where:

  • ρ\rho is the density
  • mm is the mass of the object
  • VV is the volume the object occupies

The amount of space an object occupies is related to its volume, but volume by itself does not define density. Two objects may occupy the same amount of space but have different densities if their masses are different. For example, a block of lead and a block of foam of the same size (volume) will have vastly different densities. The lead block will be much denser because it has a much greater mass packed into the same volume.

In other words, density takes both mass and volume into account. If two objects have the same volume but one has a higher mass, the object with the higher mass will have a higher density. Density is a useful property in distinguishing materials and determining whether objects will float or sink in a fluid. An object will float in a fluid if its density is less than the density of the fluid; if the object’s density is higher, it will sink.

Therefore, the amount of space an object occupies (its volume) does not directly define its density. The correct definition involves both mass and volume, and how they are related to each other.

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