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# Ace of base

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Introduction to prisms and volume

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### Ace of base

1. 1. PRISMS• A prism is a solid with a constant cross sectionin one direction. The cross section has thesame shape as the base.
2. 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. 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. 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. 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. 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. 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. 8. WHICH OF THESE SOLIDS ARE PRISMS?
9. 9. You’re ready to take on the ACE OF BASE QUIZ in lesson 3…