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Transcript of Math Prism
8/6/2019 Math Prism
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Group 1 Bernadeta Yosefani (02)
Gita Kartika Dewi (03)
Margaretha Revina (05)
Noer Aini Yulinar S. (07)
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WHAT·S THE MEANING OF
PRISM??
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P RISMIs a solid figure whichbounded by two
opposite faces whichare congruent anparallel and by other
faces which intersect atparallel edges.
Is a solid figure whichbounded by two
opposite faces whichare congruent anparallel and by other
faces which intersect atparallel edges.
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Prism base
Prism high
Opposite face
Opposite face
Parallel edges
Parallel edges
Is a solid figurewhich bounded by two opposite faces
which arecongruent anparallel and by otherfaces whichintersect at paralleledges.
Is a solid figurewhich bounded by two opposite faces
which arecongruent anparallel and by otherfaces whichintersect at paralleledges.
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CHARACTERISTIC OF
RECTANGULAR PRISM
Has a pair of parallel side that have same inshape and size that is called the base and thetop which have 4 sides
The vertex of top and bottom sides isconnected with the edges are parallel to each
other and the lengths are same. The edged iscalled as a vertical edge. The length of the edgeis the height of prism (h).
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edgestop
high
base
a pair of parallel side
1.Has a pair of parallel side thathave same inshape.
2.The vertex of top
and bottomsides isconnected with the edges.Thelength of theedge is the
height of prism(h).
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The Name of Prism
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The name of prism is determined
from the position of verticaledge and the base. If the baseshaped is n-sided regular, itmeans the prism is called prism n-
sided regular. If the vertical edge isperpendicular from the baseit·s called prism vertical n-
sided. If the vertical edgeisn·t perpendicular from thebase it·s called oblique prism.
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This is several kind of the special prism:
� Prism that all sides
shaped are square iscalled cube
� Prism that the base
shaped is square orrectangle is a cuboids
Cube
Cuboid
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W HAT is Rectangular Prism ???
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RECTANGULAR PRISM
� Is a prism that the
base have fourside
� Ex : square,
rectangle,rhombus, kite,
trapezoid, etc
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edges top
base
high
vertex
The number of sides = 6
The number of edges = 12
The number of vertex = 8
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Diagonal Planes
Diagonals plane is a plane that·s limited by twoedge of Cuboids that facing parallel and has
same length.
THE SHAPE OFDIAGONAL PLANES IN
THE FIGURE ISRECTANGLE
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K L
MN
O P
QR
KMQO
NL P R LMRO
KNQ PKLQR
O PMN
Cuboids has 6 Planes Diagonals
That are :
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V olume rectangular prism= V olume cuboid
V OLUME OF RECTANGULAR P RISM
= area of the cuboids base face x height of the cuboid
= area of prism base face x height of theprism
V = Lt
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l
w
h
Volume cuboid:length x wide x high
Volume cube:s x s x s = s3
s
s
s
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Example of V olume Question:
A rectangle prism have base withlength 5cm, wide 3cm, and the prismhigh is 8 cm.
Count the Volume!
Answer :
V olume= length x wide x high= 5 cm x 3 cm x 8 cm
= 120 cm³ 5 cm
8 cm
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DRA W ING
RECTANGULAR
P RISM
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1st :Draw two shape that
has 4 sides and the
size is same. It bethe base and top
2nd : Draw four connected
lines which
perpendicular. Then,
it be the height of
prism.
Top
Base
Height
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A B
D C
EF
GH
J I
KM
LN
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A B
D C
EF
GH
J I
KM
LN
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A B
D C
E F
GHSurface Area=2 x la+ ka x tp
Note:la = area of baseka = perimeter of base
tp = high of prism
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Volume ofPrism
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Volume: la x tp
Note:la = area of base
tp = high ofprism
Prism base
Prism high
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Simple Note
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Cube
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Element :
1. 6 faces that have same shape and size, are ABCD, EFGH, ABFE, DCGH, ADHE, and BCGF.
2. 12 edges with equal in length, are AB, BC, CD,DA,EF, FG, GH, HE, AE,BF, CG, and DH
3. 8 vertexes, are A,B,C,D,E,F,G,H
A B
D
C
E
F
GH
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6. 4 space diagonals, are GA, HB, FD, andEC.
5. 6 diagonal planes, are ABGH, CDEF, ADGF, BCHE, ACGE, and BDHF.
4. 12 face diagonals, are AF,BE,DG,CH,BG,CF,AH, DE,AC,BD, EG, and
FH
A B
D C
EF
GH
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CUBOID
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� Have 6 faces with 3 pairsof side that each pair have
rectangular shape andeach pair have size withthe same.there are ABCD and EFGH,
ABFE and DCGH, ADHEand BCGF.� Have 12 edges that
parallel edges have length
same.there are AB=CD=EF=GH,AD=BC=FG=EH,AE=DH=BF=CG A B
D
C
E F
GH
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Note:w = widthl = length
h = height
� Have 8 vertex
� Have 12 face diagonal� Have 6 diagonal planes
� Have 4 space diagonal
Volume = w x l x h
Surface area = 2 (w l + l h + w h)
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1. Given a rectangular prismmeasures 3 cm x 24 cm x 8 cm.
The total length of the edgesis«
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Answer :
Formula:4l+4w+4h=4.3+4.24+4.8=12+96+32=140 cm
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2. The surface area of a
rectangular prism with lengthof edges of 15 cm x 10 cm x 8cm is«
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Answer
Formula :2 x la + ka x tp =2 (15.10) + (15+10+15+10) x 8
= 2 (150) + 50 x 8= 300 + 400= 700 cm2
NOTE :
la=area of baseka=perimeter of base
tp=height of prism
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3. The length and the width of
rectangular prism are 9 cmand 8 cm respectively. Thetotal length of edges of therectangular prism equals tothe total length of edges of a
cube which has a volume of512 cm3 . The volume of therectangular prism is«
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3. S 3 = 512S =
3¥512
S = 8 cm
4(l+w+h) = 12 x s
4(9+8+h) = 12 x 89 + 8 + t = 12 x 8 : 417 + t = 24
t = 7
Total edges of rectangular prism= Total edges of cube
V olume = 9 x 8 x 7= 504 cm
3
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Horeeii..!!!
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