## Density Calculations Worksheet

In science, density is a fundamental concept that helps us understand the relationship between an object’s mass and volume. By calculating the density of a substance, we can determine its physical properties and even identify unknown materials. In this worksheet, we will explore how to calculate density using the formula: density = mass/volume. Through a series of practice problems, you will develop the skills needed to apply this formula in real-life situations.

### Instructions:

Before starting the worksheet, make sure you have a calculator and a pen or pencil to record your answers. Read each problem carefully and use the given information to calculate the density of the substance. Remember to include the correct units in your calculations, as density is typically measured in grams per cubic centimeter (g/cm3) or kilograms per liter (kg/L).

### Practice Problems:

1. A block of aluminum has a mass of 75 grams and a volume of 25 cubic centimeters. Calculate the density of the aluminum block.

2. A sample of water has a mass of 250 grams and a volume of 500 milliliters. Determine the density of the water sample in grams per milliliter.

3. A piece of copper has a volume of 0.05 cubic meters and a mass of 400 kilograms. What is the density of the copper in kilograms per cubic meter?

4. An object has a density of 2.5 g/cm3 and a volume of 10 cubic centimeters. Calculate the mass of the object.

5. A liquid has a density of 0.8 kg/L and a mass of 400 grams. Find the volume of the liquid in liters.

### Answers:

1. The density of the aluminum block is calculated by dividing its mass (75 grams) by its volume (25 cubic centimeters):

Density = mass/volume = 75g/25cm3 = 3 g/cm3

Therefore, the density of the aluminum block is 3 grams per cubic centimeter.

2. The density of the water sample can be found by dividing its mass (250 grams) by its volume (500 milliliters):

Density = mass/volume = 250g/500mL = 0.5 g/mL

The density of the water sample is 0.5 grams per milliliter.

3. To determine the density of the copper, divide its mass (400 kilograms) by its volume (0.05 cubic meters):

Density = mass/volume = 400kg/0.05m3 = 8000 kg/m3

The density of the copper is 8000 kilograms per cubic meter.

4. The mass of the object can be calculated by multiplying its density (2.5 g/cm3) by its volume (10 cubic centimeters):

Mass = density x volume = 2.5g/cm3 x 10cm3 = 25 grams

The mass of the object is 25 grams.

5. The volume of the liquid can be found by dividing its mass (400 grams) by its density (0.8 kg/L) and converting the units:

Volume = mass/density = 400g/0.8kg/L = 500 L

The volume of the liquid is 500 liters.

### Conclusion:

By practicing these density calculations, you have gained a better understanding of how to determine the density of different substances. Remember to always pay attention to the units given in the problem and make sure to use the correct units in your calculations. Density is a useful concept that can help you in various scientific fields, from chemistry to physics. Keep practicing and honing your skills in calculating density to become more proficient in applying this fundamental concept.