Chapter 10
Jade N.
10-1
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
- Bases of a trapezoid-its two parallel sides
- Height of a trapezoid-the perpendicular distance between the bases
Area of a parallelogram
The area of a parallelogramis the product of the base and the height
A=bh
A=bh
A=(15)(10)
A=15*10
A=150 units squared
10-2
Vocabulary
- Area-the number of square units covered by a figure
- Circle-the set of all points in a plane that are the same distance, called a radius, from a fixed point, called the center
- Radius-the distance between a center and any point on the circle
- Diameter-the distance through a circle through the center
- Circumference-the distance around a circle
- Pi-the ratio of the circumference of a circle to its diameter
Area of a circle
A=pi*radius squared
A=pi*4 squared
A=pi*16
A=50.26548246
Round
A=50.3 or 16pi units squared
10-3
Vocabulary
- solid- a 3D figure that encloses a part of space
- polyhedron-a solid that is enclosed by polygons-has only flat surfaces
- face-the flat surfaces of a 3D figure
- prism-has 2 congruent bases that lie in parallel planes, the other faces are rectangles
- pyramid- has 1 base, the other faces are triangles
- cylinder-has 2 congruent circular bases that lie in parallel planes
- cone-has one circular base
- spheres- formed by all points that are the same distance from a fixed point called the center-
- edge-the segments where faces of a polyhedron meet
- vertex-a point where 2 or more edges meet
Pyramids can have any shaped base as long as the sides are triangles. Have only one base.
Cylinder
Cone
10-4
Sphere
Vocabulary
- Net-a 2D pattern that makes a solid when folded
- Surface area-the sum of polyhedron's areas of its faces
Surface Area of a Prism
S=2B+Ph
B=5*6.5*1/2
B=16.25
S=2(16.25)+Ph
P=(8*6.5)+(5*8)+(8*6.5)
P=52+40+52
P=144
S=2(16.25)+(144)h
H=8
S=32.5+1152
S=1184.5cm squared
Surface Area of a Cylinder
S=2B+Ch=2 pi r squared+2pirh
B=2 pi r squared
B=2(pi*5 squared)
B=2(78.5)
B=157
S=2(157)+Ch
C=2 pi r
C=2(15.7)
C=31.4
S=2(157)+(31.40)h
S=314+314
S=628 cm squared
on video go to 3:30 min
Cylinder Volume and Surface Area
surface area of a cone
S=pi*r squared+pi*r*l
10-5
Vocabulary
- Slant height-the height of a lateral face, a side that is not the base
S=B+1/2Pl ...................B=25 squared L=4 P=5
S=(25)+1/2*(5)*(4)
S=(25)+1/2*20
S=25+10
S=35 units squared
10-6
Vocabulary
- Volume-the measure of the amount of space it occupies
Volume of a Cylinder
V=Bh............B=pi*r squared
B=pi*2 squared
B=pi*4
B=12.6
V=12.6*4
V=50.4
10-7
Vocabulary
- no vocabulary
Volume of a Cone
V=1/3Bh
B=pi*r squared
B=pi*3 squared
B=pi*9
B=28.3
V=1/3*28.3*h
V=1/3*28.3*8
V=1/3*226.4
V=75.5 cm cubed
Volume of a Sphere