Mensuration — Chapter Summary

A cuboid has length l

A cuboid has length l, breadth b, and height h. Its formulas are LSA=2h(l+b), TSA=2(lb+bh+hl), and V=lbh.

A cube has side

A cube has side a. Its formulas are LSA=4a^2, TSA=6a^2, and V=a^3.

A regular circular cylinder has radius

A regular circular cylinder has radius r and height h. Its formulas are CSA=2πrh, TSA=2πr(r+h), and V=πr^2h.

A right circular cone has radius

A right circular cone has radius r, height h, and slant height l. Its formulas are CSA=πrl, TSA=πr(l+r), and V=(1/3)πr^2h. The slant height is l=√(r^2

For a sphere of radius r

For a sphere of radius r, CSA=TSA=4πr^2 and V=(4/3)πr^3. For a hemisphere of radius r, CSA=2πr^2, TSA=3πr^2, and V=(2/3)πr^3.