add maths project form 5 popcorn

8/12/2019 Add Maths Project Form 5 Popcorn

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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_Depression


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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

:).)&

add maths project form 5 popcorn

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