# [Solved] A teacher performing a demonstration finds that a piece of cork displaces 23.5 mL of water. The piece of cork has a mass of 5.7g. What is the density of the cork?

Understand the Definition of Density
Density measures how much mass is contained in a given volume. It’s often used to determine the compactness or concentration of matter in an object.

The formula for density is:

Density=MassVolumeDensity=VolumeMass​

Where:

• Mass is the amount of matter in an object, typically measured in grams (g) or kilograms (kg).
• Volume is the amount of space the object occupies, typically measured in millilitres (mL) or cubic centimetres (cm³).

2. Identify the Given Values
From the problem statement, we have:

• Mass of the cork = 5.7 g
• The volume of water displaced by the cork (which is equivalent to the volume of the cork) = 23.5 mL

3. Substitute the Given Values into the Formula
Using the formula for density and substituting in the given values:

Density=5.7 g23.5 mLDensity=23.5 mL5.7 g​

4. Perform the Calculation
Dividing 5.7 by 23.5 gives:

Density≈0.2426 g/mLDensity≈0.2426g/mL

5. State the Result
The density of the cork is approximately 0.2426 g/mL0.2426g/mL. This means that each milliliter of the cork has a mass of approximately 0.2426 grams.

In essence, the density measures how tightly packed the matter is within the cork. In this case, the cork has a relatively low density, which is expected since the cork is known to be lightweight and porous.