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Rectangular prism



                                                              By
                    ST ZULAIHA NURHAJARURAHMAH
                                                  1111040168
                                International class program
                      State University of Makassar
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
??

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
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
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 ?
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
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
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
:.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
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       =

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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 =