# Chapter 10

### David Steinberger

## All Formulas

Area of a trapezoid: A=.5(b1+b2)h

Area of a circle: A=π*r*r

surface area of a prism: S=2B+Ph

Surface area of a cylinder: S=2*π*r*r+2*Pi*r*h

Surface area of a Pyramid: S= B+.5*P*L

Surface area of a cone: S= Pi*r*r+Pi*r*L

Volume of a prism: V=Bh

Volume of a cylinder: V=Pi*r*r*h

Volume of a pyramid: V=1/3*B*h

Volume of a Sphere: V=4/3*Pi*r*r*r

Surface area of a sphere: S=4*Pi*r*r

## Section 1: Areas of parallelograms and Trapezoids

Area of a trapezoid: A=.5(b1+b2)h

Vocabulary

Base of a parallelogram-the length of any one of its sides

Height of a parallelogram-the perpendicular distance between the base and the opposite side

## Section 2: Area of a circle

Vocabulary

area- the amount of surface area the shape covers

circle- the set of all the points in a plain that are the same distance

radius- the distance between the center and any point on the circle

circumference- the distance around the circle

Pi- the ratio of the circumference of a circle to its diameter

## Section 3

solid-3D figure that encloses a part of space

polyhedron- a solid that is enclosed by polygons

face-polygons that form a polyhedron

prism- a polyhedron with two bases that lie in parallel lines

pyramid- a polyhedron with one base and the faces are triangles

cylinder-a solid with two congruent circular bases that lie in lines of parallel

cone-solid with one circular base

sphere-a solid formed by all points in space that are the same distance from a fixed point called the center

edge-where two faces meet on a polyhedron

vertex- a place where 3 or more edges meet.

## Section 4: Surface area of prisims and cylinder

Surface area of a cylinder: S=2*Pi*r*r+2*Pi*r*h

Vocabulary

Net-a 2D pattern that forms a 3D object when folded.

Surface Area- the sum of the areas of its faces

## cylinder | ## Prisim | ## Real life Tie in You want to paint a tissue box all blue but you dont know how much paint you need to buy. Use the formula for surface area of a prisim |

## Section 5: Surface area of Pyramids and Cones

Surface area of a Pyramid: S= B+.5*P*L P=Perimeter L=Lateral surface area

Surface area of a cone: S= Pi*r*r+Pi*r*L

Vocabulary

Slant height- The height of a lateral face.## Section 6: Volume of Prisms and cylinders

Volume of a prism: V=Bh

Volume of a cylinder: V=Pi*r*r*h

Volume- A measurement of the amount of space it occupies

## Section 7: Volumes of pyramids and cones

Volume of a Sphere: V=4/3*Pi*r*r*r