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8.2 Estimated of volume of liquid in mlor l

Ex

Estimate = 520 ml

1 2

3 4 5

Ex

Estimate = 1.56 l

1 2

3 4 5

500ml 500ml 500ml

500ml 500ml 500ml

1 litre 1 litre 1 litre

1 litre 1 litre 1 litre

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Y = __________ ml S = __________ ml R = __________ ml

P = __________ ml Q = __________ ml = ______l______ml

K = ______l______mlT = __________ ml ! = __________ ml

W = __________ ml

8.3 "onvertion units

"onvert unit of volume from lto mland vi#e versa $ 1 l = 1000 ml )

%o &uestion 'ns(er %o &uestion 'ns(er

Ex 0. 1 l 0.1 ) 1000 = 100 ml Ex 500 ml 500 * 1000 = 0.5l

1 1.5 l 1 800 ml

2 2.2 l 2 550 ml

3 1.+ l 3 600 ml

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4 3.4 l 4 +00 ml

5 4.65 l 5 1,60 ml

8.4 "onvert unit of volume from litres and mililitres to ml and l

$ 1 l = 1000 ml )

%o &uestion ml l

Ex 1 l 10 ml

1 2l 150 ml

2 3l 200ml

3 4l 250 ml

4 5l 350 ml

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8.5 '--/% !E $ 1 l = 1000 ml )Ex1 3l 350ml 2l ,10 ml =

3 l 350ml

2 l ,10 ml

6 l 260 ml

= 6260 ml

= 6.26 l

Ex2 1,50ml ,10 ml =

1 ,50 ml

,10 ml

2 860 ml

= 2.86 l

Ex3 1.56l + 3.+l =

1 . 5 6 l

+ 3 . + l

5. 2 6 l

=5260 ml

1. 2l+50ml 1 l 460ml = 2. 350 ml 1+00 ml = 3. 0.86l + 3.4,l =

4. 1l ,00 ml 2 l 430 ml = 5. 1550 ml 23+0 ml = 6. 5.16l + 0.,l =+. 1l450ml 2l +30ml = 8. 2380 ml 2680ml = ,. 4.6l + 2.+6l =

8.5 /R'"/% !E &- $ 1 l = 1000 ml )Ex1 2l 150ml 7 1l 440 ml =

2 l 150ml

1 l 440 ml

0 l +10 ml

= +10 ml

= 0.+1 l

Ex2 3350ml71+20 ml =

3 350 ml

1 +20 ml

1 630 ml = 1.63 l

Ex3 1.+2l 0.88l =

1 . + 2 l

+ 0 . 8 8 l

0 . 8 4 l = 840 ml

1. 2l+50ml 7 1 l ,30ml = 2. 3 250 ml7 1+80 ml = 3. 2.25l 1.+l =

4. 3l400 ml72 l ,+0 ml = 5. 2200 ml71660 ml = 6. 1.4l 0.85l =

+. 5l480ml 7 3l 500ml = 8. 3++0 ml 7 8,0ml = ,. 3.65l 1.8l =

1 1 1

1 1 121

160

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8.5 '--/% !E $ 1 l = 1000 ml ) (give the answer in landml )

1. 2l+50ml 1 l 460ml = 2. 350 ml 1+00 ml = 3. 0.86l + 3.4,l =

4. 1l ,00 ml 2 l 430 ml = 5. 1550 ml 23+0 ml = 6. 5.16l + 0.,l =

+. 1l450ml 2l +30ml = 8. 2380 ml 2680ml = ,. 4.6l + 2.+6l =

8.5 /R'"/% !E &- (give the answer in land

ml )1. 2l+50ml 7 1 l ,30ml = 2. 3 250 ml7 1+80 ml = 3. 2.25l 1.+l =

4. 3l400 ml72 l ,+0 ml = 5. 2200 ml71660 ml = 6. 1.4l 0.85l =

+. 5l480ml 7 3l 500ml = 8. 3++0 ml 7 8,0ml = ,. 3.65l 1.8l =

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8.+ /9"'/% !E &- $ 1 l = 1000 ml )

Ex1 3l 850 ml ) 2 =

3l 850 ml

) 2+l +00 ml

= ++00 ml

= +.+ l

Ex2. 550 ml ) 3 =

5 5 0 ml

) 31 6 5 0 ml =1.65 l

Ex3. 1.35 l ) 4 =

1 . 3 5 l

) 4 5 . 4 0 l = 5400 ml

1. 1l 350 ml ) 4 = 2. 450 ml ) 5 = 3. 2.+5 l ) 2 =

4. 2l 280 ml ) 6 = 5. 120 ml ) + = 6. 0.25 l ) 5 =

+. 1l 040 ml ) 8 = 8. 260 ml ) , = ,. 4.05 l ) 3 =

10. 1l 150 ml ) 10 = 11. 520 ml ) 100 = 12. 0.0+ l ) 1000 =

13. 2l 1+0 ml ) 10 = 14. 350 ml ) 100 = 15. 0.83l ) 100 =

16. 3l 440 ml ) 10 = 1+. 2+ ml ) 1000 = 18. 0.04 l ) 1000 =

1,. 4l +50 ml ) 10 = 20. 1 3,0 ml ) 10 = 21. +.02l ) 10 =

8.+ /9"'/% !E &- $ 1 l = 1000 ml )

Ex1 3l 850 ml ) 2 =

3l 850 ml

) 2

+l +00 ml

= ++00 ml = +.+ l

Ex2. 550 ml ) 3 =

5 5 0 ml

) 3

1 6 5 0 ml =1.65 l

Ex3. 1.35 l ) 4 =

1 . 3 5 l

) 4

5 . 4 0 l = 5400 ml

1. 1l 350 ml ) 4 = 2. 450 ml ) 5 = 3. 2.+5 l ) 2 =

4. 2l 280 ml ) 6 = 5. 120 ml ) + = 6. 0.25 l ) 5 =

+. 1l 040 ml ) 8 = 8. 260 ml ) , = ,. 4.05 l ) 3 =

10. 1l 150 ml ) 10 = 11. 520 ml ) 100 = 12. 0.0+ l ) 1000 =

13. 2l 1+0 ml ) 10 = 14. 350 ml ) 100 = 15. 0.83l ) 100 =

16. 3l 440 ml ) 10 = 1+. 2+ ml ) 1000 = 18. 0.04 l ) 1000 =

1,. 4l +50 ml ) 10 = 20. 1 3,0 ml ) 10 = 21. +.02l ) 10 =

8.+ /9"'/% !E &- $ 1 l = 1000 ml )

11 1 21

11 1 21

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Ex1 3l 850 ml ) 2 =

3l 850 ml

) 2

+l +00 ml

= ++00 ml

= +.+ l

Ex2. 550 ml ) 3 =

5 5 0 ml

) 3

1 6 5 0 ml =1.65 l

Ex3. 1.35 l ) 4 =

1 . 3 5 l

) 4

5 . 4 0 l = 5400 ml

1. 1l 350 ml ) 4 = 2. 450 ml ) 5 = 3. 2.+5 l ) 2 =

4. 2l 280 ml ) 6 = 5. 120 ml ) + = 6. 0.25 l ) 5 =+. 1l 040 ml ) 8 = 8. 260 ml ) , = ,. 4.05 l ) 3 =

10. 1l 150 ml ) 10 = 11. 520 ml ) 100 = 12. 0.0+ l ) 1000 =

13. 2l 1+0 ml ) 10 = 14. 350 ml ) 100 = 15. 0.83l ) 100 =

16. 3l 440 ml ) 10 = 1+. 2+ ml ) 1000 = 18. 0.04 l ) 1000 =

1,. 4l +50 ml ) 10 = 20. 1 3,0 ml ) 10 = 21. +.02l ) 10 =

8., -!% !E &- $ 1 l = 1000 ml )

Ex1. 3l 350 ml * 2 =

1l 6 + 5 ml = 16+5ml

2 3l 3 5 0 ml2

1 3

1 2

1 5

1 4

1 0

1 0

Ex 2. 2430 ml * 3 =

8 1 0 ml = 0.81l

3 24 3 0 ml2 4

3

3

0

0

Ex3. 2.25 l * 4 =

0. 5 + 0 l = 5+0ml

4 2. 2 8 0 l 2 0

2 8

2 8

0

0

1. 2l 240 ml * 4 =

ml

2. 5350 ml * 5 =

l

3. 23.4 l * 6 =

ml4. 1l +60 ml * 8 = l 5. 8330 ml * + =

l6. 43.2 l * , =

ml

+. 819 ml 7 = l 8. 1 548 l 6 = ml 9. 3 168 l 9 = ml10. 8.484 l 4 = l 11. 32.48 l 8 = ml 12. 18.228 l 14 = ml

8., -!% !E &- $ 1 l = 1000 ml )

Ex1. 3l 350 ml * 2 =

1l 6 + 5 ml = 16+5ml

2 3l 3 5 0 m

l2

1 3

1 2

1 5

1 4

1 0

1 0

Ex 2. 2430 ml * 3 =

8 1 0 ml = 0.81l

3 24 3 0 ml

2 4

3

3

0

0

Ex3. 2.25 l * 4 =

0. 5 + 0 l = 5+0ml

4 2.

2 8 0l 2 0

2 8

2 8

0

0

1. 2l 240 ml * 4 = ml 2. 5350 ml * 5 = l 3. 23.4 l * 6 = ml

4. 1l +60 ml * 8 = l 5. 8330 ml * + = l 6. 43.2 l * , = ml+. 819 ml 7 = l 8. 1 548 l 6 = ml 9. 3 168 l 9 = ml10. 8.484 l 4 = l 11. 32.48 l 8 = ml 12. 18.228 l 14 = ml

2 4

6

8

10

12

14

16

18

3 6

,

12

15

18

21

24

2+

4 8

12

16

20

24

28

32

36

11 1 21

2 4

6

8

10

12

14

16

18

3 6

,

12

15

18

21

24

2+

4 8

12

16

20

24

28

32

36

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8., -!% !E &- $ 1 l = 1000 ml )

Ex1. 3l 350 ml * 2 =

1l 6 + 5 ml = 16+5ml

2 3l 3 5 0 ml

2

1 3

1 2

1 5

1 4 1 0

1 0

Ex 2. 2430 ml * 3 =

8 1 0 ml = 0.81l

3 24 3 0 ml

2 4

3

3

0

0

Ex3. 2.25 l * 4 =

0. 5 + 0 l = 5+0ml

4 2. 2 8 0 l

2 0

2 8

2 8

0

0

1. 2l 240 ml * 4 =

ml

2. 5350 ml * 5 =l

3. 23.4 l * 6 =

ml

4. 1l +60 ml * 8 = l 5. 8330 ml * + =l

6. 43.2 l * , =

ml

+. 819 ml 7 = l 8. 1 548 l 6 = ml 9. 3 168 l 9 = ml10. 8.484 l 4 = l 11. 32.48 l 8 =

ml 12. 18.228 l 14 =

ml

8.10 -!% !E &-

$ 1 l = 1000 ml )

Ex1. 1l +00 ml * 10 =

1l +00 ml = 1 + 0 0 ml

1 0

'ns(er : 1+0 ml

Ex2. 26 000 ml * 1000 =

26 0 0 0 ml

1 0 0 0

'ns(er : 26 ml

Ex3. 1.+ l * 100 =

1.+ l = 1 + 0 0 ml

1 0 0

'ns(er : 1+ ml

1 2l 1+0 ml * 10 = 2. 42 000 ml * 1000 = 3. 23.6l * 100 =

4. 3l 600 ml * 100 = 5. 18 ,00 ml * 100 = 6. 13 l * 1000 =

+. +l 400 ml * 100 = 8. 18 300 ml * 100 = ,. 85 l *1000 =

8.11 9ro;lem solving :

Ex.

/g of t

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2200 ml

"onvert unit 2200 ml = 2.2 l

2

/a>e a(aC 0.+5 l of (ater from t

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6. ut

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4.

'li ?ours t

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1

in t

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olve it1 The volume of w!e" #$ !wo %o$!#$e"& #&

3 428 ml. 'f !he volume #$ o$e of !he %o$!#$e"& #& 1 516ml( wh! #& !he volume #$ !he o!he" %o$!#$e")

6 * $u"&e u&e+ 20 ,o!!le& of !he &me -e !o f#ll #$ 2 lof%ouh &/"u. ow mu%h of !he %ouh &/"u( #$ ml( %$,e f#lle+ #$!o e%h ,o!!le)

2 The !o!l volume of 4 l&&e& of +"#$ #& 3.6 l. Wh! #&!he volume #$ l&&)

+ 30 u#l& &h"e 6 lof m#l. ow mu%h of !he volume(#$ ml( +oe& e%h u#l e!)

3 The %%#!/ of 2 ,o!!le& #& 2.3 l. Wh! #& !he %%#!/ of9 of !he &me ,o!!le&)

8 $# +"$ 300 mlm#l eve"/ +/. ow mu%h m#l +#+he +"#$ #$ 10 +/& #$ l#!"e&)

4 The !o!l of !wo of !h"ee $um,e"& #& 3 600. 'f !heve"e of 3 $um,e"& #& 1 500( wh! #& !he o!he"$um,e")

, 6 lof f"e&h m#l w& f#lle+ #$!o 3 ,o!!le&. Wh! #& !hevolume of f"e&h m#l #$ ml( #$ e%h ,o!!le)

5 * !$ %o$!#$& 280 lof w!e". $.u$ w$!e+ !oem!/ !he !$ $+ he u! !he w!e" #$!o 4 !$& ofeul -e. l%ul!e !he volume of w!e" #$ e%h

&mlle" !$&.

10 o!he" l%e+ 575 mlof &/"u #$!o e%h ,o!!le of"e&e"ve+ f"u#!& &he #& "e"#$. 'f 5 ,o!!le& of"e&e"ve+ #& "e"e+( wh! #& !he volume of &/"u

u&e+)

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11 The volume of w!e" #$ %o$!#$e" #& 3.07 l. Wh! #& !hevolume of w!e" #$ 2 %o$!#$e"& w#!h !he &me volume

of w!e")

16 * hwe" m$e& !o &ell 32.45 lof o"$e flvou"e++"#$& +/. #$+ !he volume of +"#$& &ol+ ,/ h#m #$

8 +/&.

12 * %o$!#$e" %o$!#$& 4 lof lu,"#%$!. ow m$/%o$!#$e" "e $ee+e+ !o f#ll 100 lof !he lu,"#%$!)

1+ The volume of 2 %"!o$& of &of! +"#$ #& 2.5 l. Wh! #&!he !o!l volume of 8 %"!o$& of !he &me +"#$)

13 The volume of 2 ,o!!le& of m#$e"l w!e" #& 2.4 l. Wh!#& !he volume of !he w!e" #$ 7 of !he &me ,o!!le&)

18 m+$ ou"e+ 27 lof w!e" eull/ #$!o 5 #l&.l%ul!e #$ l( !he volume of !he w!e" #$ e%h #l.

14 *m#$h ,ouh! 24 ,o!!le& of %oo#$ o#l. The volume ofeve"/ ,o!!le #& 5.5 l. #$+ !he !o!l volume of %oo#$ o#l,ouh! ,/ *m#$h.

1, :#h$ +"#$& 7 l&&e& of w!e" +/. 'f !he volumeof l&& #& 270 ml( wh! #& !he volume +"$ ,/:#h$ #$ +/)

15 :hm$ +"#$& 0.25 lof m#l +/. ow m$/ l#!"e& ofm#l "e +"$ #$ *uu&!)

20 The volume of 5 %o$!#$e"& #& 1 l500 ml. Wh! #& !hevolume of o$e %o$!#$e"( #$ ml)

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Slmh +"$ 0.28 lof f"e&h m#l eve"/ +/. ow mu%hm#l +#+ &he +"#$ fo" !he whole mo$!h of "%h)

25 * mu %o$!#$& 4 559 mlof w!e"melo$ ;u#%e. 'f #& 5 !#me& !he volume of Y. 'f !hevolume of Y #& 215 ml. Wh! #& !he volume of >)

28 u"+ +"$ 217 mlof w!e" wh#le h+# +"$ 318ml. Wh! w& !he !o!l volume of w!e" !h! !he/

+"$)

$+ Y. ?#ve /ou" $&we" #$ l#!"e&.

T,le 2 &how& !h"ee !/e& of ,o!!le +"#$ $+

!he#" volume&.

T,le 2

l%ul!e !he !o!l volume( #$ l( of !he %oo#$

o#l #$ 3 ,o!!le& of *( 2 ,o!!le& of @$+ .

T,le 1 &how& !he volume of 3 !/e& of %#+.

T,le 1

l%ul!e !he !o!l volume of %#+ #$ l.

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'f of #! w& u&e+( wh! #& !he volume lef! #$

ml)

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S#ful w$!e+ !o f#ll %o$!#$e" A w#!h 3 lof

w!e" u$ %o$!#$e" P.ow m$/ %o$!#$e"&

of P #& $ee+e+ !o f#ll %o$!#$e" A)

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o#l #$ 1 ,o!!le of >( 2 ,o!!le& of Y $+ 3 ,o!!le&

of .

The #$fo"m!#o$ ,elow &how& !he volume of

w!e" #$ 3 %o$!#$e"& P( Q $+ :.

#$+ !he !o!l volume of w!e" #$ !he 3

%o$!#$e"&.