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Density

Exploring how density determines mass in volume, including calculation methods and practical applications in predicting object behavior. Learn about mass, volume measurements for liquids and solids, calculating density, and solving density problems using the DMV triangle. Discover how to determine the density of objects by measuring mass and volume.

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Density

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  1. Density • Density is how much mass something has in a certain volume 100kg How can one have more matter if they are the same size? Which block has more matter in it? The blue block must have a higher density! 200kg

  2. The yellow block has more matter contained in the same volume as the blue block. Therefore, the yellow matter must be more dense. Which block has higher density? How do you know?

  3. If it is the same type of matter, then it has the same density because the matter is equally crowded. The size of the piece does not make a difference. Which block has higher density?

  4. The pink block is smaller, but it still has a higher density, because the matter is more crowded. Which block is more dense?

  5. You can use density to predict if an object will float or sink. If something is more dense than the fluid, it will sink. Will the yellow object float or sink?

  6. If something is less dense than the fluid, it will float. Will the brown block float or sink?

  7. The duck is less dense than water so it floats The anchor is more dense than water so it sinks

  8. How can a balloon float just by filling it with hot air?

  9. video

  10. When a fluid gets hot, its density changes! Inside balloon Outside balloon

  11. How can you figure out the density of an object? You need to measure the mass and the volume. • The formula for calculating density is: Mass Density = Volume

  12. m v d DMV Triangle: Cover the variable that you need to find, the triangle will tell you what math to do to find it.

  13. Remember how to measure mass? • Mass is a measurement of the amount of matter that something has. • The SI unit for mass is the gram. • Mass is measured with a balance. Balance

  14. Remember how to measure volume? • Volume is the amount of space that something takes up Volume is measured differently for liquids and solids • Volume of Liquids • The SI unit for liquid is liter • Liquid volume is measured with a graduated • cylinder

  15. Rectangular Solids 1.6cm x 1.3cm x 4.1cm = 8.528 cm3 8.5 cm3 cm cm cm cm3 x x = Height Length Width

  16. Displacement method Irregular Solids Because the hammer is solid, we use cm3! 69 mL 65 mL Volume of Hammer? 4 mL or 4 cm3

  17. Calculating density is simple! • Measure the mass. • Measure the volume. • Divide. Mass (grams) Say “per” Density = Volume (cm3) The units that we use for density are grams/cm3

  18. Density Problems(Use the DMV triangle!) 1. If 52 grams of matter has a volume of 65 cm3, what is the density of the matter? Will it float or sink in water? • If a 32 gram piece of wood has a density of 4 g/cm3, what is the volume? • A metal washer has a mass of 27 g/cm3 and a volume of 3 cm3. What is its mass?

  19. If an object has a mass of 810 g and a volume of 45 cm3, what is its density? Will it float or sink in water? • When you add a rock to 70 mL of water in a graduated cylinder, the water rises to 80 mL. The density of the rock is 4.2 g/cm3. What is the rock's mass? • What is the volume of a sample of liquid with a density of 20 g/cm3 and a mass of 25 g? • A 540g fish displaces 90 cm3 of water. What is the density of the fish?

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