# Chapter 12 review (theorems and postulates)

## 10 terms · Mrs. Urban's Honors Geometry Class

f+v=e+2

### Surface Area of a Regular Pyramid Theorem

The surface area S of a regular pyramid is S=B+1/2Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height

### Surface Area of a Right Cone Theorem

The surface area S of a right cone is S=B+1/2Cl=pi r squared + pi r l

### Volume of a Cube Postulate

The volume of a cube is the cube of the length of its side

### Volume Congruence Postulate

If two polyhedra are congruent, then they have the same volume

The volume of a solid is the sum of the volumes of all its non-overlapping parts

### Volume of a Prism Theorem

The volume V of a prism is V=Bh, where B is the area of the base and h is the height

### 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

S=2B+Ph=aP+Ph

### Surface area of a right cylinder theorem

S=2B+Ch=2pi r squared + 2 pi r h