Chapter 10
Mitch M.
Section 10.1
Formulas
Area of a parallelogram
A=bh
Real Life Example
Area of a trapezoid
A=1/2(b1+b2)h
Words to know
The base of a parallelogram is the length of any one of its sides.
The perpendicular distance between the base and the opposite side is the height of a parallelogram.
The base of a trapezoid are its two parallel sides.
The perpendicular distance between the bases is the height of a trapezoid.
b1-one of the two parallel lines on a trapezoid.b2- one of the two parallel lines on a trapezoid.
Example of a parallelogram
Answer:
A=bh
A=12*16
A=192 cm squared
Example of a Trapezoid
Answer:
A=1/2(b1+b2)h
A=1/2(8+10)6
A=9*6
A=54 inches squared
Section 10.2
Formulas
Circumference of a circle
A=2*pi*r
Another way to find the circumference is to multiply the diameter by pi.
A=d*pi
Area of circle
A=pi*r^2
Real Life Example
Words to know
Radius- The distance from the edge of a circle to the center
Diameter- The distance from one edge to another on a circle crossing through the center point.
Circumference- The distance around a circle.
Example of Area of a Circle
Answer:
A=pi*r^2
A=3.14*10^2
A=314 in squared
Example of Circumference
Answer:
C=pi*2r
C=3.14*2*5
C=31.4 inches
Answer:
C=pi*d
C= 3.14*10
C=31.4 inches
Section 10.3
Formulas
Prism
Pyramid
Cylinder
Cone
Sphere
Words to Know
A polyhedron is a solid that is enclosed by polygons.
The polygons that form a polyhedron are called faces.
The segments where faces of a polygon meet are called.
A vertex is a point where three or more edges meet.
Example
Answer:
Faces-6
Edges-12
Vertices-8
Section 10.4
Formulas
Surface area of a prism
S=2B+Ph
Real Life example
Surface Area of a Cylinder
S=2B+Ch
Words to Know
The surface area of a polyhedron is the sum of all the area of its faces.
Example of Surface Area of a Prism
Answer:
S=2B+Ph
S=2(bh)+Ph
S=2(9*4)+30*6
S=72+180
S+252 feet squared
Example of Surface Area of a Cylinder
Answer:
S=2B+Ch
S=2pi*r^2+2pi*r*h
S=2*3.14*2^2+3.14*2*2*5
S=87.92 centimeters squared
Section 10.5
Formulas
Surface Area of a Pyramid
S=B+1/2Pl
Real Life
Surface Area of a Cone
S=pi*r^2+pi*rl
Words to Know
Example of Surface Area of a Pyramid
Answer:
S=B+1/2Pl
S=13+1/2*17*11
S=13+93.5
S=106.5 meters squared
Example of Surface Area of a Cone
Answer:
S=pi*r^2+pi*rl
S=3.14*4^2+3.14*4*5
S=50.24+62.8
S=113.04 centimeters squared
Section 10.6
Formulas
Volume of a Prism
V=Bh
Real Life
Volume of a Cylinder
V=Bh
Words to Know
Example of Volume of a Prism
Answer:
V=Bh
V=(7*9)5
V=315 inches cubed
Example of Volume of a Cylinder
Answer:
V=Bh
V=(3.14*10)20
V=31.4*20
V=628 centimeters cubed
Section 10.7
Formulas
Volume Of A Cone
V=1/3Bh
Real Life Example
Volume Of A Pyramid
V=1/3Bh
Example of Volume of a Cone
Answer:
V=1/3Bh
V=1/3(3.14*3^2)7
V=1/3*28.26*7
V=65.94 inches cubed.
Example of Volume of a Pyramid
Answer:
V=1/3Bh
V=1/3(10*8)6
V=1/3*80*6
V=160 inches cubed
All Formulas from Chapter 10
A=1/2(b1+b2)h
C=d*pi
C=2r*pi
A=pi*r^2
E=f+v-2
S=2B+Ph
S=2B+Ch
S=B+1/2Pl
S=4pi*r^2
V=Bh
V=1/3Bh
V=4/3pi*r^3
What do the symbols mean in the formulas?
b= base
h= height
r= radius
B= area of the base
l= slant height
d= diameter
c= circumference
S= surface area
E=edges
f=faces
v= vertices
V=volume
b1= one of the parallel lines on a trapezoid
b2= one of the parallel lines on a trapezoid