SME
Grade 10 Math
Surface area and volume of solids, cross sections and Cavalieri's principle
The main lesson, then each kind of problem it solves.
Surface area and volume of solids, cross sections and Cavalieri's principle
Main lesson
Surface area of a cylinder
Use this for “Find the surface area of a can with radius 4 cm and height 7 cm.”
Volume of a cone
Use this for “A cone has radius 3 cm and height 4 cm. Find its volume.”
Surface area of a cone
Use this for “A cone has radius 3 cm and height 4 cm. Find its slant height and surface area.”
Volume of a pyramid
Use this for “A square pyramid has base side 6 cm and height 10 cm. Find its volume.”
Surface area and volume of a sphere
Use this for “A ball has radius 5 cm. Find its surface area and volume.”
A level cut of a cone
Use this for “A cone has radius 6 cm and height 9 cm. What is the area of a level cut 3 cm up?”
Surface area of a pyramid
Use this for “A square pyramid has base side 6 cm and height 4 cm. Find its slant height and surface area.”
What shape is the cut?
Use this for “A plane cuts a cube through three corners. What shape is the cross section?”
Turn a shape: which solid?
Use this for “A right triangle is turned about one leg. What solid does it sweep out?”