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Warm-up

Warm-up. Follow along with your teacher as review surface area using the surface area introduction notes provided. Understanding Volume. What is volume?. Volume is what the box or object is containing. What is the volume of the basketball?. What is the volume of the picture?.

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Warm-up

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Presentation Transcript

  1. Warm-up • Follow along with your teacher as review surface area using the surface area introduction notes provided.

  2. Understanding Volume

  3. What is volume? • Volume is what the box or object is containing What is the volume of the basketball? What is the volume of the picture?

  4. What is volume? What is the volume of the container? Volume can be a liquid, a solid or a gas

  5. How do we calculate volume? • We use the idea that volume is actually the amount of 1x1x1 cubesthat can fit into an object. Box 1 Volume is always cubed cm3 3 cm 1 cm 3 cm 1 cm 4 cm How many cubes would fit into the bottom of the Box 1? 12 cubes

  6. Estimating volume is easy

  7. Let’s talk about bricks Are bricks or cubes going to fit perfectly into the bottom of either of these shapes? How can we estimate the amount that should fit in the bottom? Key Point The amount of cubes that will fit into the bottom of ANY SHAPE is ALWAYS the area of the shapes base.

  8. Volume made easy The Volume of the container = 351.68in3 50.24 in3 4 in 50.24 in3 If the radius is 4 in, how many bricks would fit in the bottom of this container? 50.24 in3 50.24 in3 About 50.24 in3 7 in 50.24 in3 50.24 in3 How many times would you have to stack the the bottom layer in order to fill up the container? 50.24 in3 7 stacks of 50.24 Is Volume equal to Length x Width x Height?

  9. Steps to calculate volume • 1) How many cubes will fit into the bottom of the object? • 2) How many times will you have to stack the bottom layer in order to fill the container? • 3) Multiply the number of cubes in the bottom times how high you have to stack them. What is another way to think about this question?

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