# Surface Area and Volume

### Chapter 11

## Vocab

__Polyhedron__: is a space figure, or three-dimensional figure, whose surfaces are polygons.__Prism__: is a polyhedron with two congruent, parallel faces, called bases.__Lateral Faces__: You can name a prism using the shape of its bases__Altitude__: of a prism is a perpendicular segment that joins the planes of bases.__Height__: of a prism is the length of an altitude.__Lateral Area:__Prism is the sum of areas of the lateral faces.__Surface Area:__sum of the lateral area and the area of the two bases/__Cylinder__: is a solid that has two congruent parallel bases that are circle__Altitude__: of a cylinder is a perpendicular segment that joins the planes of the bases.__Cone:__is a solid that has one base and a vertex that is not in the same plane as the base.__Slant Height:__l is the distance from the vertex to a point on the edge of the base.__Lateral area:__is half the circumference of the base times the slant height.__Surface area:__of a cone are slimier to those for a pyramid.__Pyramid:__is a polyhedron in which in face__Regular Pyramid:__whose base is a regular polygon and whose faces are congruent isosceles triangles.__Slant Height:__l is the length of the altitude of a lateral face of the pyramid.__Volume:__the space that a figure occupies.

## Euler's Formula

The sum of the number of faces (F) and vertices (V) of a polyhedron is two more than the number of its edges (E).

F+V=E+2

## Cavalieri's Principle

If two space figures have the same height and the same cross-section area at every level, then they have the same volume.