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ADDITIONALMATHEMATICSPROJECT WORK
TASK 2 / 2014
Name:
Class: 5 Jati
Teacher: Encik Amir Arif bin
Mohd Nasir
CONTENTS
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NO. TOPICS PAGE
1. Title
2. Acknowledgement
3. History o !o!corn
". O#$ecti%es
&. Section A
'. Section (
). Concl*sion
+. ,*#ric
TITLE
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APPLICATION
OF
MATEMATIC!
IN POPCO"N
PAC#A$IN$
AC#NO%LE&$EMENT
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-irst o ll/ I wo*ld like to e0!ress my grtit*de to my
dditionl mtemtics tecer/ Encik Amir wo d el!ed me
lot tro*go*t tis !ro$ect work. ito*t is g*ide/ I my not %e
com!leted tis !ro$ect. Secondly/ I wo*ld like to tnk my !rentsor !ro%iding e%eryting s*c s money to #*y e%eryting wic
re re*ired to com!lete tis !ro$ect work s well s teir d%ices/
wic is essentil in te !rogress o doing tis !ro$ect work. I m
grte*l or teir constnt s*!!ort nd el!. I wo*ld lso like to
tnk my riends wo %e contri#*ted lots o ide on el!ing me
to crete n !!ro!rite title s well s gi%ing teir comments on
my reserc. I relly !!recite teir kindness nd el!. I wo*ld
like to e0!ress my !!recition to tose wo re in%ol%ed eiter
directly or indirectly in el!ing me to com!lete tis !ro$ect work.
Tnk yo* or ll te coo!ertion gi%en.
I!TO"' OF POPCO"N
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Po!corn ws irst disco%ered to*snds o yers go #y
Nti%e Americns. It is one o te oldest orms o corn4 e%idence o
!o!corn rom 3'55 (.C. ws o*nd in New 6e0ico nd
e%enerlier e%idence dting to !er!s s erly s ")55 (.C. wso*nd in Per*. Some Po!corn s #een o*nd in erly 1755s to #e
!*r!le color. Te Englis wo cme to Americ in te 1't nd
1)t cent*ries lerned #o*t !o!corn rom te Nti%e Americns.
8*ring te Gret 8e!ression/!o!corn ws com!rti%ely
ce! t &915 cents #g nd #ecme !o!*lr. T*s/ wile oter
#*sinesses iled/ te !o!corn #*siness tri%ed nd #ecme
so*rce o income or mny str*ggling rmers.
8*ring orld r II/s*gr rtionsdiminised cndy
!rod*ction/ c*sing Americns to et tree times s m*c !o!corn
tn tey d #eore. At lest si0 loclities :ll in te 6idwestern
;nited Sttes?l!riso/ Indin>?n (*ren/ Indin>
Scller/Iow>6rion/ Oio>ndNort @o*!/ Ne#rsk.
According to te ;S8A/most o te corn *sed or !o!corn
!rod*ction is s!eciiclly !lnted or tis !*r!ose> most is grown
inNe#rsknd Indin/wit incresing re in Te0s.As te
res*lt o n elementry scool!ro$ect/ !o!corn #ecme te oicil
stte snck ood o Illinois/;.S.A.
O(JECTI)E!
http://en.wikipedia.org/wiki/Great_Depressionhttp://en.wikipedia.org/wiki/World_War_IIhttp://en.wikipedia.org/wiki/Rationing#United_Stateshttp://en.wikipedia.org/wiki/Candyhttp://en.wikipedia.org/wiki/Midwestern_United_Stateshttp://en.wikipedia.org/wiki/Midwestern_United_Stateshttp://en.wikipedia.org/wiki/Ridgway,_Illinoishttp://en.wikipedia.org/wiki/Valparaiso,_Indianahttp://en.wikipedia.org/wiki/Van_Buren,_Indianahttp://en.wikipedia.org/wiki/Schaller,_Iowahttp://en.wikipedia.org/wiki/Schaller,_Iowahttp://en.wikipedia.org/wiki/Marion,_Ohiohttp://en.wikipedia.org/wiki/North_Loup,_Nebraskahttp://en.wikipedia.org/wiki/United_States_Department_of_Agriculturehttp://en.wikipedia.org/wiki/Nebraskahttp://en.wikipedia.org/wiki/Indianahttp://en.wikipedia.org/wiki/Texashttp://en.wikipedia.org/wiki/Elementary_schoolhttp://en.wikipedia.org/wiki/Illinoishttp://en.wikipedia.org/wiki/World_War_IIhttp://en.wikipedia.org/wiki/Rationing#United_Stateshttp://en.wikipedia.org/wiki/Candyhttp://en.wikipedia.org/wiki/Midwestern_United_Stateshttp://en.wikipedia.org/wiki/Midwestern_United_Stateshttp://en.wikipedia.org/wiki/Ridgway,_Illinoishttp://en.wikipedia.org/wiki/Valparaiso,_Indianahttp://en.wikipedia.org/wiki/Van_Buren,_Indianahttp://en.wikipedia.org/wiki/Schaller,_Iowahttp://en.wikipedia.org/wiki/Schaller,_Iowahttp://en.wikipedia.org/wiki/Marion,_Ohiohttp://en.wikipedia.org/wiki/North_Loup,_Nebraskahttp://en.wikipedia.org/wiki/United_States_Department_of_Agriculturehttp://en.wikipedia.org/wiki/Nebraskahttp://en.wikipedia.org/wiki/Indianahttp://en.wikipedia.org/wiki/Texashttp://en.wikipedia.org/wiki/Elementary_schoolhttp://en.wikipedia.org/wiki/Illinoishttp://en.wikipedia.org/wiki/Great_Depression8/12/2019 Add Maths Project Form 5 Popcorn
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!ECTIONA
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1< -or tis cti%ity yo* will #e com!ring te %ol*me o 2 cylinders
creted *sing te sme seet o !!er. Bo* will #e determining wic
dimension cn old more !o!corn. To do tis/ yo* will %e to ind
!ttern or te dimensions or continers.
6terils4
+.&011 in. wite !!er
+.&011 in. colored !!er
T!e
Po!corn
Plte
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C*!
,*ler
. Tke te wite !!er nd roll it *! long te longest side to orm
#seless cylinder tt is tll nd nrrow. 8o not o%erl! te sides. T!e
long te edges. 6es*re te dimensions wit r*ler nd record yo*r
dt #elow nd on te cylinder. @#el it Cylinder A.
+.&
11
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#. Tke te colored !!er nd roll it *! long te sorter side to orm
#seless cylinder tt is sort nd sto*t. 8o not o%erl! te sides. T!e
long te edge. 6es*re te eigt nd dimeter wit r*ler nd recordyo*r dt #elow nd on te cylinder. @#el it Cylinder (.
11
+.&
8I6ENSION CB@IN8E, A CB@IN8E, (
HEIGHT 11 +.&
8IA6ETE, 2.' 3."
,A8I;S 1.3 1.)
2. 8o yo* tink te two cylinders will old te sme mo*ntD
8o yo* tink one will old more tn te oterD ic oneD yD
Te two cylinders will old te dierent mo*nt. Cylinder ( will
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old more tn Cylinder A. Tis is #ec*se te rdi*s o Cylinder (
is longer nd tis mkes te %ol*me o it more tn Cylinder A.
Alto*g te eigt o Cylinder ( is sorter tn Cylinder A/
owe%er tis does not ect m*c com!red to te eect o
dierence in rdi*s.
3. Plce Cylinder ( on te !!er !lte wit Cylinder A inside it. ;se
yo*r c*! to !o*r !o!corn into Cylinder A *ntil it is *ll. Cre*lly/
lit Cylinder A so tt te !o!corn lls into Cylinder (. 8escri#e
wt !!ened. Is Cylinder ( *ll/ not *ll/ or o%erlowingD
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Cylinder ( is not *ll. Tere is still s!ce in te cylinder or more
!o!corn.
As yo* sre yo*r !o!corn snck/ nswer te *estions #elow.
". < s yo*r !rediction correctD How do yo* knowD
Bes/ te !rediction is correct. It is #sed on te orm*l/ te
%ol*me o te cylinder is e*l to rF. According to te orm*l/
rdi*s r s more eect tn eigt/ since rdi*s/ r is s*red.
T*s/ Cylinder ( s greter rdi*s s well s greter %ol*me
com!red to Cylinder A.
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#< I yo*r !rediction ws incorrect/ descri#e wt ct*lly !!ened.
Cylinder ( s greter %ol*me tn Cylinder A.
&. < Stte te orm*l or inding te %ol*me o cylinder.
V = rh
#< Clc*lte te %ol*me o Cylinder AD
V = rh
= x 1.3 x 11
= 58.4 inch
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c< Clc*lte te %ol*me o Cylinder (D
V = rh
= x 1.7 x 8.5
= 77.2 inch
d< E0!lin wy te cylinders do or do not old te sme mo*nt. ;se
te orm*l or te %ol*me o cylinder to g*ide yo*r e0!lintion.
Te cylinders %e dierent rdi*s nd eigts. Tereore/ te
%ol*mes re dierent.
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&ATA COLLECTION
Te cylinder wit greter rdi*s nd dimeter will %e
greter %ol*me.
Te rdi*s o Cylinder ( is greter tn te rdi*s o Cylinder A.
Te %ol*me o Cylinder ( is greter tn te %ol*me o Cylinder
A.
Tereore/ Cylinder ( is #le to old more !o!corns com!red toCylinder A.
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8I6ENSION CB@IN8E, A CB@IN8E, (
HEIGHT :incF< 11 +.&
8IA6ETE, :incF< 2.' 3."
,A8I;S :incF< 1.3 1.)
?O@;6E :inc< &+." )).2
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'. ic mes*rement im!cts te %ol*me more4 te rdi*s or te
eigtD ork tro*g te e0m!le #elow to el! yo* nswer te
*estion.
Ass*me tt yo* %e cylinder wit rdi*s o 3 inces nd
eigt o 15 inces. Increse te rdi*s #y 1 inc nd determine te
new %ol*me. Ten *sing te originl rdi*s/ increse te eigt #y 1
inc nd determine te new %ol*me.
CB@IN8E, ,A8I;S HEIGHT ?O@;6E
O,IGINA@ 3 15 282.7
INC,EASE8 ,A8I;S 4 10 502.7
INC,EASE8 HEIGHT 3 11 311
ic incresed dimension d lrger im!ct on te %ol*me o
te cylinderD y do yo* tink tis is tr*eD
Incresing its rdi*s d lrger im!ct on te %ol*me o te
cylinder com!red to incresing its eigt. Tis is #ec*se te
rdi*s is s*red to ind te %ol*me/ wic increses its im!ct on
te %ol*me.
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!ECTION(
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QUESTION
I yo* were #*ying !o!corn t te mo%ie teter nd wnted te
most !o!corn/ wt ty!e o continer wo*ld yo* look orD
Cl*e 4 Bo* need more tn one ty!e o continers.
Bo* re gi%en 355 cmF o tin seet mteril. E0!lin te detils.
ANSWER
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1. Cylind! C"n#$in! % "&nd #"&
Surface Area = 2rh + rF 355
Volume = rh
rF :
h =300 r
2 r
300 r
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?ol*me &'3.'2
2. C'( C"n#$in! * "&nd #"&
S*rce Are lF "lF 355cmF
& lF 355
lF '5
l ).)&cm
?ol*me l
:).)&