Prisms: SA= 2B + Ph
V= Bh
Cylinders: SA= 2(pi x r squared) + (2 x pi x r)h
V= pi x r squared x h
Pyramids: SA= B + 1/2Pl or SA= B + LA (LA= 1/2Pl)
V= 1/3Bh or V= Bh/3
Cones: SA= pi x r squared + LA (LA= pi x r x l)
V= 1/3 x pi x r squared x h or V= pi x r squared x h/3
V= Bh
Cylinders: SA= 2(pi x r squared) + (2 x pi x r)h
V= pi x r squared x h
Pyramids: SA= B + 1/2Pl or SA= B + LA (LA= 1/2Pl)
V= 1/3Bh or V= Bh/3
Cones: SA= pi x r squared + LA (LA= pi x r x l)
V= 1/3 x pi x r squared x h or V= pi x r squared x h/3
The formulas for these shapes can be looked at differently by its many qualities. First of all, each formula for volume involves finding the area of the base of the object. Both cylinders and cones use pi because their bases are circles; but, any shape that does not contain a circle will not need to use pi in its formula. To find the volume of cones and pyramids, one must multiply by one-third to find it because each shape is a third of the prism or the cylinder. Also all of the formulas use slant height for cones and pyramids. Finally, the formulas are different because each has to change referring to the different angles of the shapes; for instance, since the bases of cones and cylinders are circles, their surface area and volume measurements will not be exactly right. That's because pi is never-ending (This does not apply to prisms or pyramids because they are not involved with circles). These are only some similarities and differences between the shapes and the formulas.
