Idiot\'s Guides Basic Math and Pre-Algebra

Chapter 16: Surface Area and Volume 227

The Least You Need to Know

• The surface area of a prism is the sum of the areas of the polygons that form the
  prism. The volume of a prism is the area of the base times the height.


• The surface area of a pyramid is the area of the base plus the areas of the tri-
  angles that surround it. The volume of a pyramid is one-third the area of the base
  times the height.


• The surface area of a cylinder is the area of the two circular bases plus the area of
  the rectangle that forms the lateral area, or 2Sr^2 + 2Srh. The volume of a cylinder
  is the area of the base times the height, or Sr^2 h.


• The surface area of a cone is the area of the circular base plus the lateral area, or
  Sr2 + Srl, where l is the slant height. The volume of a cone is one-third Sr^2 h.


• The surface area of a sphere is 4Sr^2. The volume of a sphere is
  4
  3

r^3.