1. Determining Density

2. Mass Density Mass density is a measure of mass per volume
Presentation Name
Course Name
Unit # – Lesson #.# – Lesson Name
Mass Density
Mass density is a measure of mass per volume
Formula sheet
High Density
Low Density
Examples of density include:
Air density is lower at higher elevations.
Steel is more dense than Styrofoam.
M = VDm
Rearrange to solve
Now need
M and V

3. Mass Density: Mass per Volume
Mass measured in units such as
US Customary: ounces (oz) or pounds (lb)
SI: grams (g), kilograms (kg)
Volume measured in units such as
US Customary: Cubic inches or feet (in.3 or ft3)
SI: Cubic centimeter or meter (cm3 or m3)
Material
Mass Density (kgm-3)
Atmosphere Sea Level)
1.2
Water (Pure)
1,000
Water (Sea)
1,030
Aluminum
2,700
Steel (1018)
7,833
Lead
11,340

4. Sources of Mass and Volume Measurement
Presentation Name
Course Name
Unit # – Lesson #.# – Lesson Name
Sources of Mass and Volume Measurement
Mass
Typically measured directly using a scale
Volume
Calculate based on geometry and dimension measurements
Indirect measurement using water displacement or 3D scanner
A 3D scanner is available to purchase as an optional item as shown in the Purchase Manual.

5. Volume: Calculation Some object volumes can be calculated
Presentation Name
Course Name
Unit # – Lesson #.# – Lesson Name
Volume: Calculation
Some object volumes can be calculated
What is the volume formula for each object?
Students should refer to the Engineering Formula Sheet distributed in unit 1. This is available within Teacher Resources.

6. Volume: Indirect Measure
Volume of an irregular object can be determined indirectly with fluid displacement
Level
Elevates

7. Volume: Indirect Measure
Presentation Name
Course Name
Unit # – Lesson #.# – Lesson Name
Volume: Indirect Measure
Record water level with only water
Add samples
Record new level
Difference is sample volume
Explain to students the need to read the water level based on the bottom of the meniscus. The meniscus might be very slight depending on the attaction between the water and the graduated cylinder material.
Volume
Change
Read level here
Meniscus shape is
exagerated for clarity

8. Presentation Name
Course Name
Unit # – Lesson #.# – Lesson Name
Example
What is the density of a 1.12 in. sphere of titanium that weighs 0.96 lb
What volume of water would it displace?
McMaster-Carr published value for Titanium Grade 2: