a) Using the Pythagorean theorem, the length of the diagonal BD is 13 cm
b) Using the Pythagorean theorem, the length of the diagonal of the rectangular prism HB is 13√2 ≈ 13.6 cm
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Rectangular prism
1. for Junior High School
Middle grade
Even Semester
Rectangular prism
By
ST ZULAIHA NURHAJARURAHMAH
1111040168
International class program
State University of Makassar
2. Elements of rectangular prism
the faces of rectangular prism
rectangular prism KLMN OPQR
mention,
R Q the face of
rectangular prism?
O P
KLMN MNQR
N M
KLPO KNRO
K L
LMQP OPQR
6 sides
3. ??
so, what is the meaning of face’s rectangular prism ?
The parts circumscribe inside and outside of rectangular prism.
what is organized as the face of rectangular
prism…?
RECTANGLE
4. The Edges Of
Rectangular Prism
The edges is the intersect line between two
face of rectangular prism.
R Q
The edges of rectangular
O P prism KLMNOPQR
N KL LM MN NK
M
K L
OP PQ QR RO
How many the edges in
the picture ? KO LP MQ NR
12
5. Diagonal of Face
Diagonal
is the line to connecting
two angle points of
R Q rectangular prism
O P
Diagonal of face
N M is the diagonal which lies
in the faces of the
K L rectangular prism
Which is called the diagonal of
face in the rectangular prism
KLMN OPQR ?
6. Diagonal Of Rectangular
Prism
Diagonal of rectangular prism is the line of
rectangular prism to connected two points on the
rectangular prism. Which the line is
called diagonal
R Q
KQ of a rectangular
prism KLMN.
O P OPQR ?
NP
N M
L LR
K
How many? 4 MO
7. Diagonal Of Plane
Diagonal plane is the face bounded by two edges are
adjacent the same length and parallel.
R RECTANGULAR
Q
PRISM have KMQO
6 diagonal
O P of plane
KLQR
N M LMRO OPMN
K L KNQP
NLPR
8. example
Consider the rectangular prism ABCD.EFGH at
right!
a) Write the face on the top of rectangular
prism. H G
b) Determine the diagonal of face on the BCGF E F
face. E
c) Write the parallel of edge with AD
d) Consider the diagonal of a rectangular prism D
at point B and F A C
e) Consider the diagonal have face EF
A B
a. The face on the top of rectangular prism is EFGH
b. Diagonal of face BCGF are BG and CF
c. The parallel edges with AD are BC, FG, EH
d. The diagonal of a rectangular prism at point B
and F are HB and FD
e. EFCD is diagonal of plane has face
EF
9. :.Summarize.:
The face of rectangular prism form
Rectangle
The diagonals of rectangular prism
Intersection in a point and the length
is equal.
Diagonal plane of a rectangular prism
form
Rectangle
10. Given a rectangular prism of ABCD.EFGH has length, width, and
height are 12cm, 5cm and 4cm respectively.
Determine :
a. The length of diagonal face BD
b. The length of diagonal of a rectangular prism HB
a. Since ∆BAD has a right angle
H G on A, then
E F BD2 =AB2+AD2
BD2 = 122+52
BD2 =169
D C BD =13
b. Since ∆BDH has a right
A
H
B angle on D, then
HB2 =BD2+DH2
HB2 = 132+42
HB2 =169+16
D HB2 = 185
B
HB =