# Surface Area and Volume

## 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.