3.1.2 Measuring Density

• Density is defined as the mass per unit volume
• Density in g/cm^3 is the mass in grams per cubic centimeter
• Density is an important property that describes how compact a material is for its size.
• The formula for density is: Density = Mass / Volume
• In the density formula, mass is measured in kilograms or grams
• The density of water is approximately 1000 kg/m^3.
• Density is measured in kg/m^3 or g/cm^3
• Steps to measure the density of a regular solid object

  1️⃣ Measure the mass of the object

  2️⃣ Measure the volume of the object

  3️⃣ Apply the density formula
• The volume of a regular solid object can be calculated from its dimensions
• Water displacement can be used to measure the volume of an irregular solid object.
• The volume of an irregular solid object is equal to the volume of water displaced
• What instrument is used to measure the mass of an object?

  Balance or scale
• The water displacement method is used to measure the volume of irregular objects.
• The volume of water displaced is equal to the volume of the object
• In what units is volume recorded when using the water displacement method?

  m^3 or cm^3
• Steps to measure the density of an irregular solid object

  1️⃣ Measure the mass of the object

  2️⃣ Measure the volume using water displacement

  3️⃣ Apply the density formula
• The units of density are kg/m^3 or g/cm^3
• Match the variable with its unit:

  Density ↔️ kg/m^3 or g/cm^3

  Mass ↔️ kg or g

  Volume ↔️ m^3 or cm^3
• What is the density formula?

  $\text{Density} =$$\frac{\text{Mass}}{\text{Volume}}$
• The density formula determines how compact a material is for its size.
• What is the definition of density?

  Mass per unit volume
• Match the density unit with its explanation:

  kg/m^3 ↔️ Kilograms per cubic meter

  g/cm^3 ↔️ Grams per cubic centimeter
• What is the formula for density in terms of mass and volume?

  $\text{Density} =$$\frac{\text{Mass}}{\text{Volume}}$
• If an object has a mass of 50 kg and a volume of 2 m^3, its density is 25 kg/m^3
• What two measurements are needed to calculate the density of a regular solid object?

  Mass and volume
• The volume of a regular solid object can be calculated using its dimensions.
• A cube with a mass of 100 kg and a volume of 4 m^3 has a density of 25 kg/m^3
• Steps to measure the density of an irregular solid object

  1️⃣ Measure the mass of the object

  2️⃣ Measure the volume using water displacement

  3️⃣ Apply the density formula
• Volume is typically measured in cubic meters or cubic centimeters
• What formula is used to calculate density?

  $\text{Density} =$$\frac{\text{Mass}}{\text{Volume}}$
• To measure the density of an irregular solid object, you first measure its mass.
• The mass of an object is typically measured in kilograms or grams
• What method is used to measure the volume of an irregular solid object?

  Water displacement
• The volume of water displaced by an object is equal to the volume of the object itself.
• The SI unit for density is kg/m^3 or g/cm^3
• What should you do with the object to measure its volume using water displacement?

  Place it in water
• Steps to measure the density of an irregular solid object

  1️⃣ Measure the mass of the object

  2️⃣ Measure the volume of the object using water displacement

  3️⃣ Apply the density formula
• Match the variable with its unit:

  Density ↔️ kg/m^3

  Mass ↔️ kg

  Volume ↔️ m^3
• When measuring the volume of an irregular solid object, you use the method of water displacement
• What two measurements are needed to calculate the density of an irregular solid object?

  Mass and volume