math through discovery

Friday, March 10, 2017

Help your students understand the concept of finding the volume of a solid with a known cross sectional area.


Have you been looking for the product that will really help your students in calculus and AP calculus.  This is the item.  It is a very inexpensive activity. 








  • Just run off the 8 shapes on index cardstock
  • The students cut the shapes out
  • Students glue the shapes on a copy of the region bounded by the x-axis, the graph of the square root of x, and the values x = 0 and x = 4.
  • Groups of 8 students work together at completing an activity sheet that will guide them through writing a Riemann sum for the volume, estimate the volume, write an integral for the volume, and find the volume.
  • The activity closes by having the students compare the volumes and look for relationships between the volumes.  
     Volume of a Solid with a Known Cross Section

Volume of a Solid with a Known Cross Section

Once you see how easy this makes finding volume you will want to buy your colleague a copy of this for their classes.

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