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Determining Density. Mass Density. Mass density is a measure of mass per volume Formula sheet. High Density. Low Density. M = VD m. Rearrange to solve. Now need M and V. Mass Density: Mass per Volume. Mass measured in units such as US Customary: ounces ( oz ) or pounds ( lb )
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Mass Density • Mass density is a measure of mass per volume • Formula sheet High Density Low Density M = VDm Rearrange to solve Now need M and V
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)
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
Volume: Calculation • Some object volumes can be calculated • What is the volume formula for each object?
Volume: Indirect Measure • Volume of an irregular object can be determined indirectlywith fluid displacement Level Elevates
Volume: Indirect Measure • Record water level with only water • Add samples • Record new level • Difference is sample volume Volume Change Read level here Meniscus shape is exagerated for clarity
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?