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[qf mu $W ];’Iv[ c]t goNvmuj0v’I6[lujc90hk’0t|ko

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A= . . . 8kdk3iF A= . . . 8kdk3iF A= . . . 8kdk3iF A= . . . 8kdk3iD
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9Ec,afD

3,16 cm

4 cm 4 cm 4,47 cm 4,24 cm

3 cm 5 cm 4 cm
ສະຫງສ.ວວນ.ລິສຂະສິດ
p= . . . cm p= . . . cm p= . . . cm p= . . . cm

A= . . . cm2 A= . . . cm2 A= . . . cm2 A= . . . cm2

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= 2 (a + b)
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b b c,oj rNo
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cdhG ];’Iv[ P = 2(a + b)

4 cm 3 cm goNvmuj = 2(4 cm + 5cm) =18cm
5 cm A= b V h

= 5 cm V 3cm = 15cm2

98

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I6[lucj 90hk’0t|ko0hk’8jk’M ];’Iv[ goNvmuj
$cm
@cm @F@cm P= 2(a + b) A=bVh

= 2(2,2 cm + 4 cm) = 4 cm V 2 cm

= 2 V 6,2cm = 8cm2

= 12,4 cm

$cm @F*cm

#cm

!F@cm $F&cm
#cm

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#cm $cm @cm
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?
goNvmuj = 11cm2 goNvmuj = 11cm2
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99

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90
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70
60
50

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2_3
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100

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w]ptmk’(km)
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12345

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[qf mu $@ lt4kotdkogrnvj 7Qo7yf X8+?

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102

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wfh7yfgxao (m)
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105

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107

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8v[G $ 7qo

III. [qfg/ydsaf ສະຫງສ.ວວນ.ລິສຂະສິດ

!D 9qj’[vd;kj lv’g]dlj;o.fgxaovaf8klj;orq;raoxUoD

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6

0D 2 c]t 3

32

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5 10

CD 2 c]t 7

72

9D 20 c]t 2

3 30

lD 1 c]t 3
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110

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dD 9q’j 8n,j 9eo;omujg\ktlq,.lj8k8t]k’D

0hk’mu|b’j 0v’l;oXm? 100 80 50 40 16
0hk’mulv’0v’l;oXm?
16 80

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[+L phvospa’L
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pk;s^kpxko.f grnjv.shr=8afg7nvj ’o5j’|bj’-5fL
ສະຫງສ.ວວນ.ລິສຂະສິດ

111

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[qf mu $* dkophkp0t|ko

I. dyf9tde

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Aj

A

Cj Bj

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{ gIqkwfhg,af A j fh;pdkog]nvj og,af A 8k,mk’ovo9kd-hkpwx0;k

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8kdk3iD

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112

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8q;1jk’G A (2 ; 3) B (5 ; 5)

C(.......;…...) D(…...;.......) E (.......;........) F(.......;......)

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II. .97;k,

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113

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III. [qfg/ydsaf

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X0? X7?
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wx0;k D D D 8kdk3iD

114

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j jA (......;......) ; B (......;......) ;
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0D 9qj’8n,j .lj[vj o9Eg,afD
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7D 9qj’xP[mP[I6[ ABCDEF c]t I6[ A Bj Cj Dj Ej jF j la’gdfgsaoco;.fL

115

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I. dyf9tde I6[ @

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gvqk,kc8h,I6[gInvo0v’ ok’7ecr’ .shc]h;D

gInvo0v’ ok’ 7ecr’ gInvo0v’ mhk; 7eI6h ສະຫງສ.ວວນ.ລິສຂະສິດ

II. .97;k,

{ I6[ X0? g7y’j 7nda[I6[ Xd? mP[.ljglAo-nj Xd?D
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(d) (d) (0)

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8q;1jk’G

116

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I6[ b mP[.ljcdo d2
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ce ສະຫງສ.ວວນ.ລິສຂະສິດ

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117

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II. .97;k,

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g0Qkdao8k,cdooAo lv’lj;ofa’j dkj ;9tg8a’daor=fuD

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8q;1jk’G

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,u $ cdog7yj’7n ,u * cdog7y’j 7n ,us^kpcdog7y’j 7n Xoa[[+4h;o?

118

III. [qfg/ydsaf

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ສະຫງສ.ວວນ.ລິສຂະສິດ
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119

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I. dyf9tde

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I6[7qo.shlq,[6ofh;pdkooe

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c8h,I6[g7yj’7n0v’I6[mujwfhIa[mP[

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II. .97;k,

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.shgxao];f]kp3fpdkog7njvophkpc,jc[[oAo fh;pdkooe.-hdkog7yj’7n

mP[.lcj do c]t dkophkp0t|koD

120

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{ c,jc[[
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xtdv[fh;p $ I6[muwj fh,kfh;pdkophkp0t|ko8k,];’ovoD

III. [qfg/ydsaf

!D 9q’j -vdskc,jc[[ c]t ;ymudkog7nvophkp0v’I6[]5j,oUG
dD

0D

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121

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A

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II. .97;k,
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122

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B1 C1 10 B
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A

123

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100

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4$%: = 4 = 0, 04
100

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c]h;cdh0=h8+wx

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30 30%:
0, 3 = 0, 30 = 100 =

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0, 18 = 18 = 18%:
100

dD 0, 05 = .......... 0D 0, 12 = ..........
7D 0, 26 = .......... CD 0, 45 = ..........

124

9D 0,68 = ...... lD 0,7 = .......
-D 0,85 = ...... pD 0,9 = ......

#D 9qj’la’gdf8q;1kj ’c]h;7yfw]j.l8j k8t]k’8+wxoUD

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550000 6 550000 # 6 = 33000
100

600000 7 ............

650000 8 ............

0D g’yo/kdXdu[? vaf8kfvdg[hp8+xuX:? g’yofvdg[hpg,njv7q[xuXdu[?

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700000
750000 60000
800000 .......... 72000
ສະຫງສ.ວວນ.ລິສຂະສິດ
...........

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7 7 49000

.......... 9 54000
........... 10 80000

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455000 5 ...........

........... 6 12000
51867
864450 .............

125

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II. .97;k,

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s^n WFW& s^n &: 100

• &: 0v’ &WW \kpg4y’ !W&W # &WW = & #!W&WWW = @&

fa’j oAo &: 0v’ &WW gmqjkda[ @& ສະຫງສ.ວວນ.ລິສຂະສິດ
• s^5f &: 0v’ &WW gmqkj da[ &WW _ @& = $(& Xgmqjkda[ _&: 0v’ &WW?
• gru,j &: 0v’ &WW gmqkj da[ &WW + @& = &@& Xgmqkj da[ !W&: 0v’ &WW?

8q;1jk’G mhk; [5o,u 9t-NxB,0Po|bj’s+mu8j yf]k7kw;h @WWWW du[

c]t 8yfl;j os^5fw;h &: g,njv]k;7yfw]cj ]h; gxaog’yo !WWW du[D

;ymu7yfw]gj ’yolj;os^5fc,oj G 20000 # 5 = 1000 du[
100

;ymu7yfw]gj xug-aol;j os^5fc,joG 1000 # 100 = 5:
20000

;ymu7yfw]]j k7kmuj8yfw;h16js+xB,c,joG 1000 # 100 = 20000 du[
5

III. [qfg/ydsaf

!D 9qj’0Po9eo;omqfltoypq,gxaol;j oIhvp c]t gxug-aoD

dD 0, 01 = ........... = ........... : 0D 0, 1 = ........... = ...........%:
100 100

126

7D 0, 30 = ........... = ........... : 'D 0, 39 = ........... = ........... :
100 100

9D 0, 98 = ........... = ........... : lD 0, 75 = ........... = ........... :
100 100

@D 9qj’0Pog]dl;j oIhvp s^n gxug-ao gxao9eo;omqfltoypq,D

dD 1 03 0 = .......... 0D 33 = ..........
7D 1 702 0 = .......... 100
9D 26: = .........
’D 8: = ..........

lD 97: = .........

#D 9q’j 8n,j .l8j k8t]k’8+wxoU.sh4nd8hv’D

]k7klyo7hk )&WWW du[ !#$WW du[ DDDDDDDDDD )#&WW du[ ສະຫງສ.ວວນ.ລິສຂະສິດDDDDDDDDDD
mu[j vdw;h $: DDDDDDDDDD DDDDDDDDDD !@: DDDDDDDDDD

vaf8klj;oIhvp
mujs^5f]k7k

9eo;og’yomujs^5f DDDDDDDDDD *(W du[ $$)W du[ DDDDDDDDD !)WWW du[

9eo;og’yomuj DDDDDDDDDD DDDDDDDDDD &_&@W du[ DDDDDDDDD !W@WWW du[
9twfh9jkp

$D ,u\kds5j’l5d &&: 0v’\kds5’j ma’\qf16j.og0A’F 4hk.og0A’,u\kds5j’ma’\qf
!)W |;j pD 4k,;kj \kds5j’l5d,u9ad|j;pL

&D 3I’IPocsj’|bj’,uoadIPopy’ !@W 7qo g-y’j gmqjkda[ *W: 0v’9eo;ooad
IPoma’|qfD 4k,;jk .o3I’IPocs’j oAo,uoadIPoma’\qfgmqjk.fL

*D gpqk;t-qo|bj’dv’Ihvp,u9eo;orqo _W ohv’D 9eo;oz6h-kp,u #* ohv’D
9q’j 7yfw]jgxug-ao0v’gpqk;t-qo-kp,ugmqkj .fL

127

[qf mu &@ ,kf8kl;j o

I. dyf9tde

!D gryjowfhc8h,czoza’gInvos^a’|bj’ faj’I6[0hk’]5j,8k,,kf8kl;j o 1
200
\kp7;k,;kj 4hk];’pk;.oczoza’ ! cm 9twfh];’pk;mujcmh9y’ @WW cm

s^n @ m. 9q’j 7yfw]0j t|kfmjucmh9y’0v’gInvos^a’oAo.lj8k8t]k’D

lh;, ]t[P’ shv’ovo !
shv’oE 4kj p

shv’ovo @ gInvo7q; shv’Ia[c0d

shv’ovo ! ];’pk;gxao cm ];’d;hk’gxao cm ສະຫງສ.ວວນ.ລິສຂະສິດ
shv’ovo @ 16jczoza’ 0t|kf8q;9y’ 16jczoza’ 0t|kf8q;9y’
shv’Ia[c0d
gInvo7q; 3 3 V 200 = 600 2 2 V 200 = 400

@D 9q’j gdfg[yj’8k8t]k’]5,j oUc]h;8nj,9eo;omuj4nd8hv’.ljD

w]ptmk’16jczomuj w]ptmk’mucj mh9y’ ,kf8kl;j o

1 cm 2 km 1 ' 200 000
1cm 10 km
1cm 40 km
0,5 cm 25 km
2,5 cm 1 000 km

128

II. .97;k,
!D ,kf8kl;j o0v’czoza’ s^n czomujgxaog]dlj;o g-y’j 9eo;or6fgxao !D
8q;1jk’G czomuj mu,j u,kf8kl;j o j j |b’j lj;o-k;shkrao j j 0Po s^n
! ' @& WWW \kpg4y’j ! cm 16jczomju cmd];’pk;mujcmh9y’wfh 1
cm
2@5&0W0W0W
s^n @&W m.
@D 1kd-vdsk,kf8klj;o0v’czoza’gvqk];’pk;vaocmh9y’sko.sh
];’pk;8k,czoza’ s^n czomu c]t 8hv’.sh,usq;|j;pvaofP;daoD
8q;1kj ’G 4hk];’pk;vaocmh9y’ #W m s^n #WWW cm. ];’pk;16j8k,czoza’,u
#D 1*kcdm-v,dksfk8]k;l’;j pok0;vv’aocczmohz9y’a’ggIxqkaogGvqk3]0;60’0p=k;50110j68k,czoza’ s^n czomu7j 6o
da[9eo;omu1j 6jr6f0v’,kf8klj;oD
8q;1kj ’G ];’pk; # cm 1j68k,czomuj muj,u,kf8kl;j o 1
100000
\kpg4y’];’pk;mujcmh 9y’ # cm V !WW WWW = #WW WWW cm s^n # km.
III. [qfg/ydsaf ສະຫງສ.ວວນ.ລິສຂະສິດ

!D 9q’j -vdsk];’pk;mucj mh9y’0v’mvj o-nj AB 8k,,kf8kl;j omudj eoqfw;h168j k
8t]k’D
,kf8kl;j o ];’pk;mucj mh9y’

A 5 cm B 1 ' 100 5m
1 ' 1000

1 ' 2500

1 ' 50 000

@D gfujocsj’|b’j gxaoI6[lujc9lkd g-y’j ];’pk;cmdwfh !) m c]t ];’d;hk’
#D 7cqomzd6h|wfbj’h !0@u]j mqf4.u[9fqj’h;cp87h,;ckz,ow;za’!0)vk’mgfhujoDogArofnjvh;9pt0,u]jkqff48u[k9lk;j od8q6;01g,0nvD’lts;ao
otg0fwxsk[hkomkfvu’Ia’]k;8hv’.-hg;]k &W okmuXmn?D 4k,;jk w]
ptmk’c88j q;g,nv’lts;aootg0f wxskmkfvu’Ia’,u9addy3]c,afL 4hk;kj
16j8k,czomu,j u,kf8kl;j o 1 w]ptmk’c8jlts;aootg0fwxskmkf
100000
vu’Ia’.oczomuj9tpk;gmqkj .fL

129

rkdmu !@ g]0k7toyf c]t dko;afcmd ສະຫງສ.ວວນ.ລິສຂະສິດ
[qf mu &# dkosp=h c]t dko0tspkpI6[

I. dyf9tde

!D 9qj’c8h,I6[ Xd? c]t I6[ X0? .lIj 6[9t85]afmu,j u0t|kf $ V $ 8kdk3iD

Xd? X0?
@D 9q’j c8h,I6[ Xd? c]t I6[ X0? .lIj 6[9t85]afmuj,u0t|kf # V # 8kdk3iD

Xd? X0?
#D 9qj’c8h,I6[gdu[ Xd? .lIj 6[lucj 9lkdmu,j u0t|kf !W V ) 8kdk3i .shleg]afD

Xd? X0?
dD 9q’j cmd];’pk;0v’mvj o-nj8jk’M muxj tdv[gxaogdu[1j6I6[ X0?F
0D 9qj’xP[mP[da[mvj o-nj muxj tdv[gxaogdu[1j6I6[ Xd?F
7D I6[gdu[ X0? .spdj ;kj I6[gdu[ Xd? 9adgmnvj L

130

II. .97;k,

.odkosp=h s^n dko0tspkpI6[|b’j muj.shdjvo gIqk9tla’gdfgsaofa’j oUG

!D ,5,[+,udkoxjPocx’D

@D ];’pk;gxaovaf8kl;j orq;raodaoD

8q;1kj ’G

0t|kf I6[lucj 9lkd Xd? I6[lucj 9lkd X0? I6[lucj 9lkd X7?

];’pk; 6 3 1,5

];’d;hk’ 4 2 1

4

62 X0? X7?ສະຫງສ.ວວນ.ລິສຂະສິດ

31
1,5

Xd? X0? X7? Xd?

X7? X0? Xd?

I6[lujc9lkd Xd? gxaodko0tspkp0hk’0v’I6[lucj 9lkd X0? lv’gmnvj D
I6[lucj 9lkd X0? gxaodko0tspkp0hk’0v’I6[lujc9lkd X7? lv’gmnjvD
I6[lujc9lkd Xd? gxaodko0tspkp0hk’0v’I6[lujc9lkd X7? lujgmnjvD
I6[lucj 9lkd X7? gxaodkosp=h0hk’0v’I6[lujc9lkd Xd? lujgmnvj D

131

III. [qfg/ydsaf

!D 9qj’c8h,I6[ Xd? c]t I6[ X0? .ljI6[9t85]afmu,j u0t|kf $ V $ 8kdk3iD

Xd? X0?
@D 9q’j c8h,I6[ Xd? c]t I6[ X0? .ljI6[9t85]afmu,j u0t|kf # V # 8kdk3iD

Xd? X0? ສະຫງສ.ວວນ.ລິສຂະສິດ
#D 9q’j la’gdfI6[]5j,oUD X0?

Xd?


dD 9qj’ln[8+c8h,I6[-hk’ Xd? .lIj 6[lujc9lkdmu,j u0t|kf @W V !@ 8kdk3i
.shleg]afD
0D I6[-hk’ X0? .spdj ;jkI6[-hk’ Xd? 9adgmnjvL

132

$D 9q’j c8h,I6[lucj 9lkdmuj,u0hk’gmqjk @ gmnjv0v’0hk’I6[lucj 9lkd Xd?D
Xd?

&D 9qj’c8h,I6[lk,c9muj,u0hk’gmqkj # gmnjv0v’0hk’I6[lk,c9 Xd?D
Xd?

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)
ສະຫງສ.ວວນ.ລິສຂະສິດ
!@ $

* @ !
!F&
#

Xd? X0? X7? XC?

I6[lucj 9lkd Xd? gxaodko0tspkp0hk’0v’I6[lujc9lkd DDDDDDDDDDDDD lv’gmnjvD

I6[lujc9lkd X0? gxaodko0tspkp0hk’0v’I6[lujc9lkd DDDDDDDDDDDDD lujgmnjvD

I6[lucj 9lkd X7? gxaodkosp=h0hk’0v’I6[lujc9lkd DDDDDDDDDDDDDDDDD lv’gmnjvD

I6[lucj 9lkd X’? gxaodkosp=h0hk’0v’I6[lujc9lkd DDDDDDDDDDDDDDDDD cxfgmnvj D

133

[qf mu &$ dkozaoxjPoI6[

I. dyf9tde A B2
E
y
D
7
6 C
5 B
4
B1
3

2

1

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 x

!D 9kdI6[s^kpc9 ABCDE, 9qj’-vdsk7jk0v’ x c]t y 0v’c8j]tg,afc]h;ສະຫງສ.ວວນ.ລິສຂະສິດ
0Po8n,j .lj[jvos;jk’.o8k8t]k’]5j,oUD
8q;1jk’G les^a[g,af A : x = 6,5; y = 6,5
g,af A B C D E

x 6,5

y 6,5

@D 9q’j la’gdfg[yj’8k8t]k’]5,j oUS 9kdoAo 8nj,.l[j jvos;kj ’.sh7q[4h;oc]h;c8h,
I6[s^kpc9 c]tA1 B1 C1 D1 E1 8k,]efa[D
A2 B2 C2 D2 E2

g,af A1 B1 C1 D1 E1

x 3,25 3

y 3,25 1,5

g,af A2 B2 C2 D2 E2

x 13 12

y 13 6

#D gIqkzaoxPj oI6[ ABCDE ,kgxaoI6[ A1 B1 C1 D1 E1 fh;p;ymu.fL
c]t gxaoI6[ A2 B2 C2 D2 E2 fh;p;ymu.fL

134

II. .97;k,
grnvj 1kdzaoxPj oI6[|bj’mu.j shdjvogxaoI6[.\gj Iqk8hv’G
• zaoxjPo7jk0v’ x X8q;xtlko0v’cdog7Qkovo?S
• zaoxPj o7jk0v’ y X8q;xtlko0v’cdog7Qk8A’?S
fh;pdko76oF dkoskoF dko[;d s^n dko]q[D
8q;1kj ’ G V: g,af A 6,5 g,af
y: g,af A 6,5 '2 g,af A1 3,25;
'2 A1 3,25
III. [qfg/ydsaf

!D 9q’j la’gdfg[y’j I6[c]h;8n,j 8k8t]k’.sh7q[4h;oD

y CC11 FF11 ສະຫງສ.ວວນ.ລິສຂະສິດ
5 BB11 DD11
4 AA11 JJ11 EE11
II11
3 GG11
HH11
2

1

x0 1 2 3 4 5 6 7 8 9 10 11 12 13

g,af A1 B1 C1 D1 E1 F1 G1 H1 I1 J1

x 2 2
y 4

@D 9qj’zaoxPj oI6[ ! fh;pdkozaoxPj o7kj 0v’ x c]t y 0v’c8]j tg,affa’j oUG
8q;1kj ’ G V: I6[ ! ' 2 I6[ @
y: I6[ ! ' 2 I6[ @

• 9qj’8nj,8k8t]k’]5j,oUfh;p7kj .\0j v’c8j]tg,afD

g,af A2 B2 C2 D2 E2 F2 G2 H2 I2 J2
4
x 4

y 8

• 9qj’c8h,I6[ @ .lgj 9hpczjofP;da[I6[ ! Xvkfoe.-hg9hp8kdk3iczjo.spj
s^n oe.-hg9hp8kdk3iczoj ohvp8yfdaogxaos^kpl;j o?

• la’gdfgsaoco;.fL

135

rkdmu !# dko7eo;o
[qf mu && dkosko9eo;omqfltoypq,

I. dyf9tde

!D 9q’j 8nj,8k8t]k’]5,j oUD
D: 8q;8A’skoS d : 8q;skoS q : zqoskoS r : 8q;glfD

D d q r

160 30 5 10
16 3 .......... ..........
320 60 .......... ..........
480 90 .......... ..........
3 200 600 .......... ..........
16 000 3 000 .......... ..........
80 15 .......... ..........
ສະຫງສ.ວວນ.ລິສຂະສິດ
la’gdfgsaoco;.fL 9q’j lts^5[gxaos^addkoD
@D 9qj’la’gdf8k’8t]k’dkosko9eo;omqfltoypq, c]h;8n,j 9eo;omuj4nd8hv’

.lj8k8t]k’dkosko9eo;o4h;oD

dkosko9eo;omqfltoypq, dkosko9eo;o4h;o
8q;8A’ 8q;sko zqosko 8q;8A’ 8q;sko zqosko

0,4 2 0,2 422
0,8 8 0,1
0,9 3 0,3 CD 4, 5 ' 3
3,68 4 0,92 9D 145, 75 ' 25
6,18 6 1,03 lD 69, 612 ' 12
5,18 5 1,036

#D 9q’j 8A’[A’g]dc]h;xt8y[afdkoskoD
dD 186 ' 6, 2
0D 4815 ' 3, 21
7D 595 ' 2, 125

136

II. .97;k,

1kdsko9eo;omqfltoypq,.sh9eo;o4h;o s^n sko9eo;o4h;o.sh9eo;omqf
ltoypq, dvj ovnjogIqkxjPoI6[c[[dkoskooAo .shgxao9eo;o4h;osko.sh
9eo;o4h;o3fpla’gdffaj’oU
• 4hk8q;8A’sko s^n 8q;sko,u8q;g]ds^a’95f ! 8q;F @ 8q;F # 8q;F DDD
gIqk9t76oma’8q;8A’sko c]t 8q;skoda[ !WF !WWF !WWWF DDD 8k,]efa[
8q;1jk’G

dD 16, 4 ' 2 = (16, 4 # 10) ' (2 # 10) = 164 ' 20 = 8, 2
0D 3 ' 1, 25 = (3 # 100) ' (1, 25 # 100) = 300 ' 125 = 2, 4
7D 65, 727 ' 9 = (65, 727 # 1000) ' (9 # 1000) = 65727 ' 9000 = 7, 303

III. [qfg/ydsaf

!D 9qj’8A’[A’g]dc]h;sko

dD 66 ' 2, 2 lD 6, 25 ' 25 ສະຫງສ.ວວນ.ລິສຂະສິດ
0D 3 68 ' 0, 92 -D 5, 5 ' 5
7D 4 45 ' 2, 5 pD 22, 66 ' 22
’D 8 5 4 ' 3, 6 fD 82, 82 ' 41
9D 1 365 ' 3, 5 8D 65, 39 ' 13
@D 9qj’8n,j 9eo;omujg\ktlq,.l8j k8t]k’]5,j oU

Dd q r

........... 7,5 20 ..........

........... 3,5 30 ..........

........... 10,2 40 ..........

1935 38,7 .......... ..........

2568 42,8 .......... ..........

#D ,u\kdg’kt 84 kg 9af.lj4q’ 4q’]t 3,5 kg 9twfh9ad4q’L c]t 4hk0kp
4q’]t 15 000 du[ 9twfhg’yoma’\qfgmqkj .fL
$D lkpw22hkd=h|b’j pk; 98,& m 8afgxao & glAogmqkj daoD 4k,;jk c8]j tglAo9t

pk;gmqkj .fL

137

[qf mu &* dkosko9eo;omqfltoypq, X8+?

I. dyf9tde

!D 9qj’la’gdf8q;1kj ’c]h;skog]d8+wxoU
8q;1jk’G 1, 21 ' 1, 1

^1, 21 # 100h ' ^1, 1 # 100h = 121 ' 110

121 110 gIqkwfhG 121 ' 110 = 1, 21 ' 1, 1 = 1, 1

110 1,1
0

dD 43, 2 ' 2, 4 lD 2, 25 ' 0, 5 ສະຫງສ.ວວນ.ລິສຂະສິດ
0D 1, 5 ' 0, 75 -D 2, 16 ' 1, 2
7D 8, 132 ' 0, 38 pD 3, 725 ' 2, 25
’D 13, 34 ' 0, 29 fD 1, 75 ' 0, 25
9D 98, 24 ' 6, 4 8D 0, 658 ' 2, 8

@D ,uczjocr 18,7 m 4hk.-h8afglNv38]t 1,25 m 9twfh9ad38L
#D oadIPolu7j qo c8]j t7qo,uoE|adfa’j oU

z6hmu ! 27,5 kg
z6hmu @ 29,6 kg
z6hmu # 30,2 kg
z6hmu $ 42,5 kg
9q’j -vdskoE|adltg]jp0v’oadIPoma’luj7qoD

$D ,u];fpk; 6,4 m gvqk,kgIafI6[9t85]afgmqjkMdaowfh9eo;o 8 I6[D 4k,;kj
|b’j 0hk’0v’I6[9t85]afc8]j tI6[pk;gmqjk.fL

138

z6hmu # 30,2 kg
z6hmu $ 42,5 kg
9q’j -vdskoE\adltg]pj 0v’oadIPoma’lu7j qoD

II. 4.k9$,D7;,;jku]\k;fb’j,p0khk;’06v,4’Im6[9ote8,5]kafgIcaf8Ij]6[t9It6[8p5]kaf;ggmmqkj qkj M.dfaoL wfh9eo;o 8 I6[D
II1.k.d9s7k;ok9,eo;omqfltoypq,.sh9eo;omqfltoypq, gIqk7;oxPj oI6[c[[dko

s1kkodosAoko.s9ehgox;aoodmkqfoltsokypoq,9.seh9oe;o;oo4mh;qfolt.osyph9q,egIoqk;7o;4oxh;Pj ooDI6[.sc[hv[u’d.kloj9sekooo;Aoo8q;g]d
.sshgx^a’ao9d5fkmosu,j kuso^k9peo8;q;og4]h;dom.sulj h95fe0o;vo’48h;;q o8D ’A.sshvku’o.lsj9en^ 8o;q;so8kq;ogF]sdks^da’9,5f8u m;q ,ju gus]^kdps’a^ 9f5 ! 8q;S

8q;@g]8dq;mSujl#5f08vq;’S8Dq;D8A’D sgkIoqks8^n hqv;s’k7o6oF mska’d8,q;u88q;A’g]sdkso^’a 9c5f]!t8q;8Sq;@s8kq;oS #d8a[q;S!DWDDS !WWS !WWWS
gIDqkD9Dt876okm,a’]8eq;f8A’a[sD koc]t8q;sko.sh !WS !WWS !WWWS DDD 8k,]efa[D

88q;q;11kj kj’G’G 6,4 y 3,2 6,4u10 y 3,2u10 64 y 32 2

2, 48 y 0, 2 2, 48 u100 y 0, 2 u100 248 y 20 12, 4

19, 4 y 2, 425 19, 4 u1000 y 2, 425u1000 19400 y 2425 8



IIII.II[. qf[gqf/g/ydydssafaf
!D !9D q’j9sq’j skkoogg]]dd88+wxoU
dD 2,8 y 5 lD 11, 25 y 3, 75 ສະຫງສ.ວວນ.ລິສຂະສິດ
0D 36,66 y 4, 7 -D 2, 295 y 0, 425

7D 15, 7 y 6, 28 pD 966,3 y 3, 221

’D 27,63 y 4,5 fD 12, 075 y 0,35

9D 63,96 y12,3 8D 1,1075 y 22,15
jj

@D 4hk;jk oE,aocvf-a’ 4,5 ,u,;olko 3,15 kg. 4k,;jk oE,aocvf-a’1

,u,#;Do lk@d,Doeu,4gm,hk;qkj;to.kdlfovkLEoo,lgaomhkcqjk’v.mffk-La’’d4v,5’l|,b’ju,0;o5flIkjvo’3],t1[5kkgp.o4Ekwf,h,;kN]otE0,,ao1c8vkfm-a’. 41kl,;kj
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d=3,05cm d=2,45cm c = 4,87 cm

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III.

!D

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