# Chapter 10

## Vocabulary

• Area = A
• Base = b
• Height = h
• Circumference = linear length around a circle = C
• Length of 2 or more shapes lengths added = P
• Surface Area = S Ex. Painting or wrapping around something
• Area of the base = B
• Slanted length = l
• Volume = V
• A pattern that when folded will create a solid / 3D figure = Net

## Formulas

AREA
• Parallelogram/Rectangle : b*h
• Trapezoid : 1/2(b1+b2)h
• Circle : Pi*r^2
• Triangle : 1/2*b*h
SURFACE AREA

• Cylinders : 2B+Ch or 2Pir^2+2Pirh
• Prisms : 2B+Ph
• Pyramid : B+1/2*P*l

• Cone : Pi*r^2+Pi*r*l

• Sphere : 4*Pi*r^2

VOLUME

• Prism : B*h
• Cylinder : B*h or Pi*r^2*h
• Pyramid : 1/3*B*h
• Cone : 1/3*Pi*r*h
• Sphere : 4/3*Pi*r^3

## Section 10.1 Areas of Parallelograms and Trapezoids

Parallelogram : A=b*h

Trapezoids : A=1/2(b1+b2)h

Area of a circle

## Section 10.2 Areas of Circles

Circle : A=Pi*r^2

## Section 10.4 Surface Areas of Prisms and Cylinders

Cylinders : S=2B+Ch or 2Pir^2+2Pirh

Prisms : S=2B+Ph

## Section 10.5 Surface Areas of Pyramids and Cones

Pyramid : B+1/2*P*l

Cone : Pi*r^2+Pi*r*l

## Section 10.6 Volumes of Prisms and Cylinders

Prism : B*h

Cylinder : B*h or Pi*r^2*h

## Section 10.7 Volumes of Pyramids and Cones

Pyramid : 1/3*B*h

Cone : 1/3*Pi*r*h

## Extended : Spheres

A Sphere is different than other 3D Figures because it is not formed by polyhedrons, but is formed every and any point from the center is the same length.

Surface Area = 4*Pi*r^2

Volume =4/3*Pi*r^3

Volume of a Sphere