8.7.3 Volume of a Cylinder

Resources:

Assignment

  • p265 #4-6, 9, 11, 12, 14, 15, 16, 18
  • Volume problem.  What happens to the volume of an object as you increase the size of it?

Things you should be able to do after today:

  • determine the volume of a cylinder given the radius and height
  • determine the height if given the radius and the volume

8.7.2 Volume of a Prism

Resources:

Assignment

  • p258 #4, 6-9, 11, 13, 16-18, 20, 23, 24

Things you should be able to do after today:

  • determine the volume of a rectangular prism if given its 3 main measurements
  • determine the volume of a cube
  • determine the volume of a triangular prism
  • relate how the volume of a triangular prism is related to a rectangular prism

8.7.1 Describing Volume

Imagine you have a box of cereal.  The amount of cardboard needed to make the box would describe the surface area of the box, but the amount of cereal that could fit inside would describe the volume.  In this chapter, we will be studying how to determine the volume of a 3d shape.

You can imagine having a set of 1cm cubes.  If you build a shape that has a single layer of 4 shapes, you can make any one of the 7 tetris shapes.  The single layer still only has 4 blocks in it.  Imagine stacking an identical shape on top so that it is 2 layers tall.  You now have used 8 blocks.  If you stack it 10 layers tall, you can find that it has used 40 blocks.  This is how we determine the volume of a shape.  More information about volume can be found in our notes.

Do you know that little children in their early stages of development have difficulty working with more than 1 measurement at a time?  This was described by the psychologist Piaget when he developed some of his theories around conservation; Typical child demonstrates Conservation

Resources

  • Notes

Assignment

  • p250 #3, 5, 7, 8-15 *16, 18

 

 

Attachments:
FileDescriptionFile size
Download this file (7.01 Notes.pdf)7.01 Notes.pdf 372 kB

Login Form

Back to Top