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Aim: Calculation Volume

DO NOW:

What is mass?

What is weight?

What would change if you went to the moon: your mass, your weight, or both?

What is volume?

What are the 3 units we measure volume in?

What are the 3 ways we measure volume?

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3 ways to measure volume:

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  1. Measuring container (graduated cylinder)
  2. Displacement
  3. Calculation

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  1. Displacement -

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  • Begin with known volume in cylinder or cup

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  • Add item to be measured

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  • Subtract original volume from final volume

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  • 1 mL is equal to 1 cm3

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Original volume

56 mL

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Final volume

59 mL

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59-56= 3mL

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Volume of rock is 3 cm3

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  1. Calculation

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  • Use the formula

Volume = Length x Width x Height

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V = L x W x H

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  • Measured in cubic units

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Ex. cm3

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Ex: A block of wood has a length of 2cm, width of 10 cm, and a height of 15 cm. What is the volume of the block?

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  1. The length and width of a room are both 9 m. The height is 5 m. What is the volume of the room?

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  • Steve digs up a soil sample from the ground. The sample's dimensions are 2.5 cm, 3 cm, and 1.5 cm. What is the volume?

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  • What is the volume of a block of ice that has a width, height, and length of 5 cm and a mass of 60 g?

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Aim: Calculating Density

DO NOW:

What are the steps to find volume using displacement?

What is the formula for calculating the volume of a rectangle?

Define meniscus

What is density?

An object that is more dense than water will do what?

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  • Density is mass divided by volume.

Density

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  • If an object has the same density, the object will neither sink nor float but instead stay at the same level in the fluid.
  • An object will float in a fluid that is more dense than itself and sink in a fluid that is less dense than itself.

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  • Salt water has a higher density than tap water so it sinks. It is more dense
  • The golf ball is denser than tap water but not salt water

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Density

Density = Mass

Volume

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Density measured in g/cm3

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Density of water is 1.0 g/cm3

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  • Objects with densities greater than water (1 g/cm3) will sink
  • Objects with densities less than water (1 g/cm3) will float

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  • Which has a greater density, wood or iron?

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  • High density objects (iron) have particles that are packed together tightly - not much space between molecules
  • Low density objects (wood) have loosely packed particles - more space between molecules

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Less Dense

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More Dense

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  • Density can be used to identify an unknown substance.
  • Ex - you find a shiny gold colored rock in the park. Is it gold?
    • Look up density of gold
    • Measure mass and volume of rock
    • If densities match - yes!

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You are given a sample of a solid that has a mass of 10.0 g and a volume of 4.6 cm3. Will it float in water (density of 1.0 g.cm3)?

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Density = Mass/Volume

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D= 10.0 g/4.6 cm3

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D= 2.17 g/cm3

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Density of sample is greater than water so it will sink.

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  1. A 100 cm3 sample of mercury has a mass of 7 g, what is the density? Will it float in water?
  2. A 5.0 cm3 sample of aluminum has a mass of 13.5 g. Density, will it float in water?
  3. What is the density of a ball that weighs 2 g and has a volume of 20 cm3?
  4. A block of wood as a height of 2 cm, a width of 5 cm, and a length of 2 cm. It's mass is is 10 g. What is the density of the wood?
  5. The density of a ball is 4 g/cm3. It's volume is 2 cm3. What is the mass of the ball?

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