## Density Calculations Worksheet With Answers

When studying chemistry, one of the key concepts that students need to understand is density. Density is defined as the mass of an object divided by its volume, and it is a measurement of how compact or spread out the particles in a substance are. In this worksheet, we will practice calculating density using the formula D = m/V, where D is the density, m is the mass, and V is the volume. We will also work on solving problems related to density, such as finding the mass or volume of an object when given its density and another measurement.

### Problem 1

Calculate the density of a substance with a mass of 24 grams and a volume of 8 cubic centimeters.

Solution:

Using the formula D = m/V, we can plug in the given values to find the density:

D = 24g / 8 cm³

D = 3 g/cm³

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

### Problem 2

If a material has a density of 5 g/cm³ and a volume of 15 cubic centimeters, what is its mass?

Solution:

We can rearrange the formula D = m/V to solve for mass:

m = D x V

m = 5g/cm³ x 15 cm³

m = 75 grams

Therefore, the mass of the material is 75 grams.

### Problem 3

A block of wood has a density of 0.8 g/cm³ and a mass of 40 grams. What is the volume of the block?

Solution:

Again, rearrange the formula D = m/V to solve for volume:

V = m/D

V = 40g / 0.8 g/cm³

V = 50 cm³

Therefore, the volume of the block of wood is 50 cubic centimeters.

### Problem 4

If a substance has a density of 2.5 g/cm³ and a volume of 10 cubic centimeters, what is its mass?

Solution:

Using the formula D = m/V, we can rearrange it to solve for mass:

m = D x V

m = 2.5g/cm³ x 10 cm³

m = 25 grams

Therefore, the mass of the substance is 25 grams.

### Problem 5

Calculate the density of a liquid that has a mass of 45 grams and a volume of 15 cubic centimeters.

Solution:

Using the formula D = m/V, we can plug in the given values to find the density:

D = 45g / 15 cm³

D = 3 g/cm³

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

### Problem 6

If a gas has a density of 0.5 g/cm³ and a volume of 30 cubic centimeters, what is its mass?

Solution:

We can rearrange the formula D = m/V to solve for mass:

m = D x V

m = 0.5g/cm³ x 30 cm³

m = 15 grams

Therefore, the mass of the gas is 15 grams.

### Problem 7

A metal has a mass of 80 grams and a density of 4 g/cm³. What is the volume of the metal?

Solution:

Again, rearrange the formula D = m/V to solve for volume:

V = m/D

V = 80g / 4 g/cm³

V = 20 cm³

Therefore, the volume of the metal is 20 cubic centimeters.

### Problem 8

If a substance has a density of 3.5 g/cm³ and a volume of 25 cubic centimeters, what is its mass?

Solution:

Using the formula D = m/V, we can rearrange it to solve for mass:

m = D x V

m = 3.5g/cm³ x 25 cm³

m = 87.5 grams

Therefore, the mass of the substance is 87.5 grams.

### Conclusion

In this worksheet, we have practiced calculating density using the formula D = m/V and solving problems related to density. Density is an important concept in chemistry, as it helps us understand the properties of different substances and how they interact with each other. By mastering density calculations, students can gain a deeper understanding of the physical world around them and make connections between mass, volume, and density. Practice these problems to improve your understanding of density and enhance your problem-solving skills in chemistry.