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Ace of base
Ace of base
Ace of base
Ace of base
Ace of base
Ace of base
Ace of base
Ace of base
Ace of base
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Ace of base

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Introduction to prisms and volume

Introduction to prisms and volume

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  • 1. PRISMS• A prism is a solid with a constant cross sectionin one direction. The cross section has thesame shape as the base.
  • 2. PRISMSIt doesnt matterwhich way aprism is facing, (orwhich of its faces is on thebottom), we alwaysrefer to the crosssectional shape is“the base”.
  • 3. THE CHEESE TEST• To test whether an object has a constant crosssection, we start taking slices from the base, all theway to the top.If all the slices are the same size and shape – it’s aprism!
  • 4. THE CHEESE TESTPRISM(if we slice this block the rightway, all these slices will be thesame)NOT A PRISM(the shape of these slices willchange, no matter which way you sliceit)
  • 5. THE CHEESE TESTNOT A PRISM(if we slice this cone, every slicewill be a different size…)PRISM(this cylinder can be sliced so thatevery slice is the same size and shape)
  • 6. LAYERS• We can imagine that every prism is build up oflayers: Slices that are one unit high.BASE LAYER:Area = 8 units2Height = 6 units(6 layers)What would the volume of this prism be?
  • 7. LAYERS• What is the base area of each of theseprisms?• How many layers are there in each?• How could we find the Volume?
  • 8. WHICH OF THESE SOLIDS ARE PRISMS?
  • 9. You’re ready to take on the ACE OF BASE QUIZ in lesson 3…

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