FOAM WOOD METAL Suppose you had three equally sized cubes of the following materials. Which one would be the heaviest?

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Presentation transcript:

FOAM WOOD METAL Suppose you had three equally sized cubes of the following materials. Which one would be the heaviest?

The metal cube is heavier just as a brick is heavier than a sponge of the same size! They take up the same amount of space (volume) but the brick has more mass (heaviness of an object)!

Volume of a Rectangular Solid =_____

Volume of a Rectangular Solid =L x W x H 4cm 2cm 3cm V=

Volume of a Rectangular Solid =L x W x H 4cm 2cm 3cm V= 16cm 3 V= 27cm 3 4cm x 2cm x 2cm 3cm x 3cm x 3cm Volume is a measure of the physical space an object take up,

Density (ρ) is a measure of how compact the atoms or molecules in a substance are. It is a ratio of an object’s mass (m) to its volume (v). SAMPLE PROBLEM If I have a wooden block that has a mass of 20g and a volume of 26cm 3, what is its density? 6 ρ = m/v density (g/cm 3 ) or (kg/m 3 ) mass (g) or (kg) Volume (cm 3 ) or (m 3 ) ρ = m/v density (g/cm 3 ) or (kg/m 3 ) mass (g) or (kg) Volume (cm 3 ) or (m 3 )

Density (ρ) is a measure of how compact the atoms or molecules in a substance are. It is a ratio of an object’s mass (m) to its volume (v). SAMPLE PROBLEM If I have a wooden block that has a mass of 20g and a volume of 26cm 3. What is its density? m=20g v=26cm 3 ρ = 20g/26cm 3 =0.77g/cm 3 ρ = m/v density (g/cm 3 ) or (kg/m 3 ) mass (g) or (kg) Volume (cm 3 ) or (m 3 ) ρ = m/v density (g/cm 3 ) or (kg/m 3 ) mass (g) or (kg) Volume (cm 3 ) or (m 3 )

Density Formula Manipulation Multiply both sides by v Divide both sides by p

Density Problems 1.If 10.0cm 3 of ice has a mass of 9.17g, what is the density of ice? 2.A piece of tin has a mass of 16.52g and a volume of 2.26 cm 3. What is the density of tin? 3.A piece of metal has a density of 11.3 g/cm 3 and a volume of 6.7 cm 3. What is the mass of this piece of metal? 4.A cube 6cm by 5cm by 3cm has a mass of 450g. Calculate its density.

Density Problems 1.If 10.0cm 3 of ice has a mass of 9.17g, what is the density of ice? 2.A piece of tin has a mass of 16.52g and a volume of 2.26 cm 3. What is the density of tin? 3.A piece of metal has a density of 11.3 g/cm 3 and a volume of 6.7 cm 3. What is the mass of this piece of metal? 4.A cube 6cm by 5cm by 3cm has a mass of 450g. Calculate its density. 1.Density = 0.917g/cm 3 2.Density = 7.3g/cm 3 3.Mass = 75.7g 4.V= 90cm 3 thus p = 5g/cm 3 1.Density = 0.917g/cm 3 2.Density = 7.3g/cm 3 3.Mass = 75.7g 4.V= 90cm 3 thus p = 5g/cm 3 Density Worksheet!

Aluminum Water Gold Wood Understanding the Meaning of Density ObjectDensity (g/cm 3 )Density (kg/m 3 ) Aluminum2.7 g/cm kg/m 3 Water1 g/cm kg/m 3 Gold19.3 g/cm 3 19,300kg/m 3 Wood0.85g/cm 3 850kg/m 3 Sugar1.6g/cm kg/m 3 Sugar Suppose we have 5 different cubes all with an equal volume of 1cm 3. How much will each one weigh? QUESTION

Aluminum Water Gold Wood Understanding the Meaning of Density ObjectDensity (g/cm3)Density (kg/m 3 ) Aluminum2.7 g/cm kg/m 3 Water1 g/cm kg/m 3 Gold19.3 g/cm 3 19,300kg/m 3 Wood0.85g/cm 3 850kg/m 3 Sugar1.6g/cm kg/m 3 Sugar Suppose we have 5 different cubes all with an equal volume of 1cm 3. How much will each one weigh? QUESTION 2.7g 1g 1.6g19.3g 0.85g

Fill in the table and Create Scale Model Cubes ObjectDensity (g/cm3)Density (kg/m 3 )Mass (g)Volume (cm 3 )Length (cm) Aluminum2.7 g/cm kg/m g Water1 g/cm kg/m 3 27g Gold19.3 g/cm 3 19,300kg/m g Wood0.85g/cm 3 850kg/m 3 6.8g Sugar1.6g/cm kg/m 3 1.6g Color the Cubes an appropriate color, tape/glue them to a piece of computer paper and list each one’s mass, volume and density underneath it. First One: Aluminum mass = 16.2g Density = 2.7g/cm 3 Volume = mass / density V = 16.2g / 2.7g/cm 3 = 8cm 3 The cube must have side lengths of 2cm each because 2cm x 2cm x 2cm = 8cm 3

Fill in the table and Create Scale Model Cubes ObjectDensity (g/cm3)Density (kg/m 3 )Mass (g)Volume (cm 3 )Length (cm) Aluminum2.7 g/cm kg/m g8cm 3 2cm Water1 g/cm kg/m 3 27g27cm 3 3cm Gold19.3 g/cm 3 19,300kg/m g64cm 3 4cm Wood0.85g/cm 3 850kg/m 3 6.8g8cm 3 2cm Sugar1.6g/cm kg/m 3 1.6g1cm 3 1cm Color the Cubes an appropriate color, tape/glue them to a piece of computer paper and list each one’s mass, volume and density underneath it. First One: Aluminum mass = 16.2g Density = 2.7g/cm 3 Volume = mass / density V = 16.2g / 2.7g/cm 3 = 8cm 3 The cube must have side lengths of 2cm each because 2cm x 2cm x 2cm = 8cm 3

Density of Water: 1g/cm 3 or 1000kg/m 3 Water 1m 3 Water 1m 3 Assuming 1kg = 2.2lbs, how much would 1m 3 of water weigh? Could you lift it? Show me how big that is using meter sticks.