Chapter 10
Kade H
All Formulas
Section One
Formula= A=bh
-Problems
Find the Area of the parallelogram.
Real Life Examples:
The U.S. Postal Service Picture
A Flattened Box
Problem 1
A=bh
A=4*10
A=40ft^2
Problem 2
A=bh
A=3*8
A=24in^2
Problem 3
A=bh
A=4*9
A=36in^2
Section Two
Formula= A=3.14(or pi)* r^2
-Problems
Find the Area of the Circles
Real Life Examples:
Wheels
Roundabouts
A=3.14*r^2
A=3.14*2^2
A=12.56in^2
You must divide by two for the Radius
A=3.14*r^2
A=3.14*2^2
A=12.56cm^2
A=3.14*r^2
A=3.14*6^2
A=113.04cm^2
Section Three
Classify the Solids
Then tell if they are Polyhedrons.
-Problems
Real life examples:
Dice that are multiple sided
-Then tell if its a Polyhedron
Answer
Sphere, Cone, and Cylinder
Non Polyhedrons
-Then tell if its a Polyhedron
Answer
Pentagonal Prism
Polyhedron
-Then tell if its a Polyhedron
Answer
Non-Convex Polyhedron
Section Four
Surface Area of Prisms and Cylinders
Formula= S=pi*r*r + pi*r*l
Find the Surface Area of the following Solids
Real Life Examples:
Water Park Slides
Inflated Air Balls
S=3.14*3.5^2+3.14*3.5*10
S=38.465+109.9
S=148.365cm^2
S=3.14*4^2+3.14*4*15
S=50.24+188.4
S=238.64cm^2
Use 8 as the Radius
S=3.14*8^2+3.14*8*20
S=200.96+502.4
S=703.36 units^2
Section Five
Surface area of Pyramids and Cones
Formula= S=B+1/2Pl
-Problems
Real world examples:
Egyptian Pyramids
Use A=b^2+2bh
Use A=b^2+2bh
Use A=b^2+2bh
Section Six
Volumes of Prisms and Cylinders
Formula= V=Bh
-Problems
Real life examples:
Skyscrapers
Building blocks
Section Seven
Volumes of Pyramids and Cones
Formula= V=1/3Bh
-Problems
Egyptian Tombs
Ice cream cones
Use V=Bh
V=4*3
V=12ft^3
Use V=Bh
V=10*8
V=80m^3
Use V=Bh
V=102*13
V=1326ft^3
Whats That?
Pyramid: A solid, formed by polygons, that has one base. The base can be any polygon, and the other faces are triangles.
Cylinder: A solid with two congruent circular bases that lie in parallel lines.
Cone: A solid with a circular base.
Sphere: A solid formed by all points in a space that are the same distance from a fixed point in the center.