Measuring Volume
Through Displacement
Volume of cylinders (year 9 mathematics)
Volume formulas
 Volume of prism = LxWxD
 Volume of cylinder = Area of face x D (πxr^2xD)
Task
 Your task is to make a volume measuring device using
the rectangular prism blocks (provided) and the
beaker/glass (...
 Step 4: repeat step 3 until you have used all of the
rectangular prisms provided.
 Step 5: you have now made a displace...
Equipment required
Starting water level
1 rectangular prism in water
3 rectangular prisms in water
5 rectangular prisms in water
Cylinder in water (notice
displacement)
Large Cylinder in water (notice
displacement)
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Displacement

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measuring volume of cylinders through displacement

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Displacement

  1. 1. Measuring Volume Through Displacement Volume of cylinders (year 9 mathematics)
  2. 2. Volume formulas  Volume of prism = LxWxD  Volume of cylinder = Area of face x D (πxr^2xD)
  3. 3. Task  Your task is to make a volume measuring device using the rectangular prism blocks (provided) and the beaker/glass (provided). Step 1: Measure the volume of the rectangular prisms Step 2: Fill beaker/glass half full of water and mark a line using marker at this point. Step 3: place one rectangular prism in the beaker/glass and mark where the water has moved to (this is called displacement).
  4. 4.  Step 4: repeat step 3 until you have used all of the rectangular prisms provided.  Step 5: you have now made a displacement calculator  Step 6: calculate the volume of all the cylinders provided by measuring the radius, length, width etc with a ruler.  Step 7: Use your displacement calculators to investigate if your calculations in step 6 were correct. See pictures on next slides for further clarification
  5. 5. Equipment required
  6. 6. Starting water level
  7. 7. 1 rectangular prism in water
  8. 8. 3 rectangular prisms in water
  9. 9. 5 rectangular prisms in water
  10. 10. Cylinder in water (notice displacement)
  11. 11. Large Cylinder in water (notice displacement)

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