## Density Calculations Worksheet

In science, density is a measurement of how much mass is contained in a certain volume. It is an important concept in physics, chemistry, and other scientific fields. Density calculations are commonly used to determine the properties of materials and substances. In this worksheet, we will explore the basics of density calculations and practice solving problems related to density.

### What is Density?

Density is defined as the mass of an object divided by its volume. It is usually represented by the symbol “ρ” and is measured in units such as grams per cubic centimeter (g/cm³) or kilograms per liter (kg/L). In simple terms, density tells us how tightly packed the molecules of a substance are. Substances with a high density have molecules that are closely packed together, while substances with a low density have molecules that are spread farther apart.

### Calculating Density

The formula for calculating density is:

ρ = m/V

Where:

ρ = Density (in g/cm³ or kg/L)

m = Mass of the object (in grams or kilograms)

V = Volume of the object (in cubic centimeters or liters)

To calculate the density of an object, simply divide its mass by its volume. For example, if an object has a mass of 100 grams and a volume of 50 cubic centimeters, its density would be:

ρ = 100g / 50cm³ = 2g/cm³

### Practice Problems

Now, let’s practice solving some density calculation problems:

#### Problem 1:

An object has a mass of 75 grams and a volume of 25 cubic centimeters. What is its density?

ρ = 75g / 25cm³ = 3g/cm³

#### Problem 2:

A substance has a mass of 500 kilograms and a volume of 250 liters. What is its density?

ρ = 500kg / 250L = 2kg/L

#### Problem 3:

A cube has a mass of 90 grams and a volume of 30 cubic centimeters. What is its density?

ρ = 90g / 30cm³ = 3g/cm³

### Applications of Density

Density calculations are used in various scientific fields to determine the properties of different substances. Some common applications of density include:

- Identifying unknown substances based on their density
- Calculating the buoyancy of objects in fluids
- Determining the concentration of solutions
- Measuring the purity of materials

Overall, density calculations play a crucial role in understanding the physical properties of matter and substances. By mastering density calculations, scientists and researchers can make informed decisions and predictions in their respective fields.

### Conclusion

In conclusion, density calculations are an essential tool in science for determining the properties of materials and substances. By understanding the concept of density and how to calculate it, scientists can gain valuable insights into the nature of different substances. Practice solving density problems regularly to sharpen your skills and deepen your understanding of this fundamental scientific concept.