Density Calculations Worksheet Answers

Density is a fundamental property of matter that describes how much mass is packed into a given volume. Understanding and calculating density is crucial in various scientific fields, from chemistry and physics to geology and engineering. Many students learn about density through worksheets that require them to apply the formula: Density = Mass / Volume. While understanding the concept is key, sometimes having the answers to check your work can significantly improve your learning process. This post provides the answers to a typical Density Calculations Worksheet, along with a brief explanation of the calculations involved.

Below are the answers to a sample Density Calculations Worksheet. Remember to always include the appropriate units in your answers! The unit of density will depend on the units used for mass and volume (e.g., g/cm³, kg/m³, g/mL).

Worksheet Problems and Solutions

Problem 1: A rock has a mass of 500g and a volume of 200 cm³. Calculate the density of the rock.
- Answer: 2.5 g/cm³
- Explanation: Density = Mass / Volume = 500g / 200 cm³ = 2.5 g/cm³
Problem 2: A metal cube has a side length of 3 cm and a mass of 216 g. Calculate its density. (Hint: Volume of a cube = side length³)
- Answer: 8 g/cm³
- Explanation: First, calculate the volume: Volume = (3 cm)³ = 27 cm³. Then, Density = Mass / Volume = 216 g / 27 cm³ = 8 g/cm³
Problem 3: 100 mL of ethanol has a mass of 79 g. What is the density of ethanol?
- Answer: 0.79 g/mL
- Explanation: Density = Mass / Volume = 79 g / 100 mL = 0.79 g/mL
Problem 4: What is the mass of a 50 cm³ block of wood if its density is 0.6 g/cm³?
- Answer: 30 g
- Explanation: Since Density = Mass / Volume, then Mass = Density * Volume = 0.6 g/cm³ * 50 cm³ = 30 g
Problem 5: A graduated cylinder contains 20 mL of water. An irregular object with a mass of 60 g is added to the cylinder, and the water level rises to 35 mL. What is the density of the object?
- Answer: 4 g/mL
- Explanation: The volume of the object is the difference in water levels: Volume = 35 mL – 20 mL = 15 mL. Then, Density = Mass / Volume = 60 g / 15 mL = 4 g/mL
Problem 6: Calculate the volume of a gold bar with a mass of 1930 g if the density of gold is 19.3 g/cm³.
- Answer: 100 cm³
- Explanation: Since Density = Mass / Volume, then Volume = Mass / Density = 1930 g / 19.3 g/cm³ = 100 cm³
Problem 7: A sample of iron has a volume of 75.0 cm³. If the density of iron is 7.87 g/cm³, what is the mass of the sample?
- Answer: 590.25 g
- Explanation: Mass = Density * Volume = 7.87 g/cm³ * 75.0 cm³ = 590.25 g
Problem 8: A 10.0 cm³ sample of copper has a mass of 89.6 g. What is the density of copper?
- Answer: 8.96 g/cm³
- Explanation: Density = Mass / Volume = 89.6 g / 10.0 cm³ = 8.96 g/cm³

It’s important to remember that density is an intensive property, meaning it doesn’t depend on the amount of substance. Whether you have a small piece of gold or a large gold bar, the density of gold will remain the same (approximately 19.3 g/cm³). These problems provide a solid foundation for understanding and applying the density formula. Practice is key to mastering these calculations! Also, be mindful of significant figures in your answers.

By understanding the concepts behind these calculations and checking your answers, you can build a stronger foundation in the science of density. Good luck with your studies!

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