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sphere

Series of all points in space that are equidistant from a fixed point called the center

regular pyramid

a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles

distance formula

d=√((x₂-x₁)²+(y₂-y₁)²)

Cavalieri's Principle

If two solids have the same height and the same cross-sectional area at every level, then they have the same volume.

prism

a polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms

surface area

The total area of all exterior surfaces of an object and all areas that "can be touched"

slant height

the height of a lateral side in a three-dimensional figure or, in a cone, the distance from the base of a cone to its vertex, measured along the lateral surface

vertex of a pyramid

the point in a pyramid where all of the lateral faces of the pyramid intersect

Volume of a pyramid

1/3Bh