Chapter 10
Luke S
Formulas
A=bh
A=1/2 (b1+b2)h
Section 10-2----------area of circles
A=3.14 r*r
Section 10-4----------Surface area of prisms and cylinders
S=2B=P
S=2B+Ch
Section 10-5------Surface area of pyramids and cones
S=B+1/2 Pl
S=3.14 r*r + 3.14 rl
Section 10-6-------------volumes of prisms and cylinders
V=Bh
Section 10-7-----------volumes of pyramids and cones
V=1/3 B h
Extension-----Volume of a sphere
V=4/3 3.14 r*r*r
Extension-------surface area of a sphere
S=4*3.14 r*r
Section 10-1-----------------area of parallelagrams and trapozoids
Area of a parallelagram
A=bh=(6)(3)
=18
A=18 cm. sqrd.
Area of a trapazoid
A=1/2(b1+b2)h
=1/2 (16+10)7
=1/2(26)7
=1/2(182)
=91
A=91
The height (h) of any shape must be connected to a 90 degree angle
Section 10-2----------area of circles
A=3.14*r*r
=3.14*5*5
=78.5
If you are not given the radius you must divide the diameter by 2
watch this video to help you in a real life situation
Section 10-4----------Surface area of prisms and cylinders
Surface area of a prism
S=2B+Ph=2(3*4*1/2)+(3+4+5)(7)
=12+(3+4+5)(7)
=12+12(7)
=168
S-surface area
P-perimeter of the base
h-height
B-area of base
Surface area of a cylinder
S=2(3.14)r*r+2(3.14)rh
=2 (3.14) (4) (4) + 2 (3.14) (4) (10.7)
S=369
You can use the formula to find the surface area of the NET
Section 10-5------Surface area of pyramids and cones
S=B + 1/2 P l l=slant height
= (4*5) 1/2 (5*2+4*2) 8
= (20) 1/2 (18) 8
S=1440
surface area of a cone
S=3.14*r*r +3.14*r*l
=3.14(4)(4)+3.14(4)(9)
=163.4
Real life tie in
If you want to make a party hat that is shaped like a cone you must find the surface area to find if it will fit your head or not.
Section 10-6-------------volumes of prisms and cylinders
V=Bh
=(5)(4)(7)
=140
Volume of a cylinder
V=Bh
=3.14 r*r h
Section 10-7-----------volumes of pyramids and cones
Vocabulary
Diameter- The distance from one end to the other on a circle
Circumference- The circular line on a shape
Net- The flattened pattern that forms a 3-D object when folded
Surface area- The sum of all the faces
Slant height- The height of the lateral face that isn't the base
Volume- The measurement of space an object takes up