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PRIPRISSMMAANNDD
SPECIAL PRISMSPECIAL PRISM
PRIPRISSMMAANNDD
SPECIAL PRISMSPECIAL PRISM
……mmaatthheemmaattiicc pprreesseennttaattiioonn
PRISM
about prism:• 3D geometric
figure• faces, vertex,
edge = based on the type of the prism
kinds of prism: square
prism/cube rectangular
prism triangular prismetc
definition of square prism/cube
square prism/cube is a three dimensional geometric figure with all sides made of squares—called faces.
this presentation describe about cube as a prism and cylinder as a special prism, and just describe a little about rectangular prism…
…next slide will describe more about cube: side, vertex, edge, volume, surface area, and diagonal formula
C U EB
cubedescription:
3D geometric figure
all sides are same
all sides made of square—called faces
side
cube’s surface area formula
450
756
3256
356
62
2
s
26 s
35
surface area = the sum of areas of all the face =Q : find the cube surface area if
the edge isA : surface area
surface
area
cube’s volume formula
V = Volumesa = side area
s = length of edgeSa = Surface area
3
2
s
ss
hsaV
e.g:
1) V = s3 = 73 = 343 cm2
2)
1562525sV
25s
625s
625s6
3750s
6s3750
6sSa
?V
?s
3750Sa
33
2
2
2
2
volume
cube’s faces, spaces, planes diagonal
cube has 12 faces diagonal• formula : • the fact :
cube has 4 spaces diagonal• formula :
• the fact :
cube has 6 planes diagonal• formula :
• the fact :
2s2sssACABAC 22222
2s
3s
2s2
3s
3s
2ss
sss
ds
2
22
222
22
2s
2ss2
definition of rectangular prism
rectangular prism is a three dimensional figure that has two same sides and other four same sides. the figure is like cube, but
not all sides are the same.
rectangular prism’s surface area formula
Q : Sa = 426 cm2
h = 12 cmw = 9 cmt = ?
A :
twthwh2Sa
5cmt
21042t
42621t2
4269t12t1082
426t9t129122
surfacearea
rectangular prism’s volume formula
Q : V = 9000 cm3
h = 10 cm w = 15 cm t = ?
A : 9000 = 10 x 15 x t 9000 = 150 x t 150t = 9000 t = 60 cm
twhV
volume
rectangular prism’s faces, spaces, planes diagonal
to find the faces, spaces, planes diagonal for rectangular prism is same as cube. but, to find the faces and spaces for rectangular prism, find it with Pythagoras theory—because not all sides are same. this is the basic formula :
to find the planes diagonal for rectangular prism, the formula is same as to find the area of rectangle. this is the basic formula : h x w
22 bac
SPECIAL PRISM
for special prism, we will describe about cylinder—circle prism.
definition of cylinder
cylinder/circle prism is a three dimensional geometric figure that has two circle sides and a side who covers the figure around that two
circles
C y l in r
ED
cylinderdescription
3D figure
has 2 same-circle-side and one rectangular cover
has no vertex
side cover
cylinder’s surface area formula
• surface area1) cover area =
2) circle side area =
3) perfect surface area (with two circle sides) =
4) imperfect surface area (without one circle side) =
t2ππ
2πr
tr2ππ2ππr2ππ2
2trπr2ππrπr2
cylinder’s volume formula
• volume1) circle area = 2) volume = one circle side area x t = 3) d = 2r4) r = ½ d5) volume =
2πrtπr2
tπd41 2
example : volume
Q : d = 7 cmt = 14 cmV = ?
A : V =
=
=
= 462 cm3
tπd41 2
127722
41 2
12497
22
4
1
vo
lu me
thanksthanks for for watchingwatchingkeep keep MMAATTHH alwaysalways funfun!!
thanksthanks for for watchingwatchingkeep keep MMAATTHH alwaysalways funfun!!
……created bycreated by…… :: benabena..nadhiranadhira ::
:: taratara..luthfiluthfi..aishaaisha ::