12.6
Formula Sheet:
EX
EX
Find the surface area and
volume of the sphere:
EX
Find the surface area and
volume of the hemisphere:
7m
EX
Find the volume:
Activity 5.4 Calculating Properties of Solids
Introduction
Have you ever stopped to think why it is that you are able to float in water? The
reason has to do with the concept of buoyancy. The volume of water that your body
displaces has weight. The weight
1_3Notes.notebook
September09,2010
SimplifyingRadicals
Findaperfectsquarethatdividesevenly.
Treeit.
Circlemultiplesandsimplify.
9isthe
perfect
square
EX
treeit
=
circlethe
.simplifyto3
EX 12
EX
300
EX 49
EX
32
Sep88:16PM
DistanceFormula
EX
Findthedistance
1_3Notesb.notebook
MENTAL MATH CHALLENGE
Sep49:06AM
1.3
SegmentAdditionPostulate
IfBisbetweenAandC,thenAB+BC=AC.
IfAB+BC=AC,thenBisbetweenAandC.
A
B
C
EX:
DrawcollinearpointsEbetweenDandF.
Writethesegmentadditionpostulatefor
thepoints.
Sep48:57AM
1
1_3Not
3_5Notes.notebook
September29,2010
3.5
Parallel Theorem
If 2 lines are to the same line, then they
are to each other.
Perpendicular Theorem
If 2 lines are to the same line, then
those lines are to each other.
3_5Notes.notebook
September29,2010
3.6
Slope:
EX: Find the slope of the line passing through
the points (-5, -3) and (-1, -7).
Slope-Intercept form:
y = mx + b
EX: Write an equation of a line with a
slope of -3 and a y-intercept of 15.
Parallel Slope Postulate
Parallel lines have the same
3.7
Postulate18
Theslopeofperpendicularlinesis
theoppositereciprocal.
EX
EX
1
m=
2
EX
2
y=x+4
3
EX
Findaslopeperpendicularto:
3x+4y=9
y=5x+2
EX
Writetheslopeintercept
formofanyline
perpendiculartoy=2x+1.
EX
Describetherelationshipbetweenthe
linethrough(4,
EX Statethesumofthe
interior's
ofapentagon.
EX
Findx:
EX Statethemeasureofeachinterior
inaregularoctagon.
EX Eachexteriorinaregularpolygon
equals60.Howmanysidesdoes
thepolygonhave?
polyhedron with 2 , parallel faces
triangular
prism
triangular
prism
hexagonal
prism
pentagonal
prism
SURFACE AREA OF PRISMS
Thesurfaceareaofthisprismis158in2.
Why?Sketchtherectangularprismandshowyourwork.
Formula Sheet:
prism surface area: add area of al
12_3Notes.notebook
May01,2013
Formula Sheet:
Find the slant height and
area of the lateral face
of the pyramid.
12_3Notes.notebook
May01,2013
Find the surface area
of the pyramid.
Formula Sheet:
12_3Notes.notebook
May01,2013
Find the surface
area of the c
Howmanypyramidscanfitintooneprism
thathasthesamesizedbase?
Formula Sheet:
Surface Area
*OR: Add area of
all faces *
Find the area of the
base of the pyramid.
Find the volume of the
pyramid:
Formula Sheet:
Find the volume of the cone.
Find the value of x.
Ronald Lee "Gunny" Ermey (born March 24, 1944) is an American actor, best known for his role as
austere Gunnery SergeantHartman in Full Metal Jacket, which earned him a Golden Globe Award nomination for
Best Supporting Actor. He is a retired United States