Question

@jhonny9

Answer 1

@jhonyy9

Answer 2

the question please ?

Answer 3

Design a new cereal box that will hold the same amount of cereal but reduce manufacturing costs. Prove that your new design holds the same amount but can be manufactured more cheaply.

Answer 4

how would i do this

Answer 5

what was the past length measures of this box for what you got 272 square inch surface area ?

Answer 6

l=8
w=2
h=12

Answer 7

and how many was the volume ?

bc. here is very importantly that you need mentioning the volume constant when you change these measures for one surface area smaler

Answer 8

192 cubic units

Answer 9

ok. so how you think how you get this volume from different length measures so that the surface area will result smaler ?

Answer 10

im not sure

Answer 11

looke please area of base now is 8*2=16
so than you minimize this lengths and will get area of base what is 16 from 4*4
so how you think in this way you will get a smaler surface area ?

Answer 12

im a little confused your wording is a little harder to understand

Answer 13

ok. i will try with different words - sorry

now area of base is 16 square inch -yes ?

Answer 14

yes

Answer 15

and you have got it this result from length of the base equal 8 and width equal 2
yes ?

Answer 16

yah cuz that would be the top

Answer 17

ok. no problem

so than you make smaler this length of 8 on 4 inch and the width make from 2 to 4 greater

so will get the same area bc. 4*4 =16 too

yes ?

Answer 18

oh okay

Answer 19

so in this way you need calculi now with these 4*4 measures how many will get the surface area - bc. the volume is the same bc. area of base not was changed - yes ?

Answer 20

okay..

Answer 21

please write your calculi of surface area here

Answer 22

so you mean re write surface area?

Answer 23

with the new cal with the old cal?

Answer 24

yes with these new dimensions please

Answer 25

24+24+4+4+96+96

Answer 26

like this?

Answer 27

how you get these ? i dont understand -sorry

Answer 28

now the base is a square with length side equal 4 inch

Answer 29

and the height remain the same equal 12

Answer 30

im confused i thought that is what you wanted

Answer 31

so there are two square on top and bottom with area 4*4 and 4 lateral sides with area 4*12
yes ?

Answer 32

yes

Answer 33

in this case how many will be the total surface area ?

Answer 34

so 4*4 and 4*12?

Answer 35

no

Answer 36

then what cuz im a little confused

Answer 37

4*4 is area of one square but there are two same squares onw on the top and one on bottom so how many will be these than ?
and lateral sides with area 4*12 there are 4 sides not just one

Answer 38

so in thia way the surface area will be equal 4*4*12 + 2*4*4
yes ?

Answer 39

okay

Answer 40

192 and 32

Answer 41

yes and assuming these how many will get ?

Answer 42

what?

Answer 43

will be smaler than 272 yes ?

Answer 44

yes

Answer 45

192+32=224 inch squared

Answer 46

wait so what would be the surface area of the front?

Answer 47

so than you see we have made this surface area smaler from 272 inch squared on 224 inch squared

Answer 48

wait so just to clarify what is the surface area of the front side and top?

Answer 49

what mean to you here the front side and top ?

Answer 50

cuz its a cereal box

Answer 51

looke please i said above that there are on the base a square and same on the top,bottom too

Answer 52

with side length 4

so area of a square is side time side
yes ?
than will be 4*4=16

Answer 53

and the height remain same with first dimensions equal 12 bc. you need mentioning the volume equal 192 unit cubic

Answer 54

so what would be the surface area of the top to clarify because ur wording is confusing and not clear

Answer 55

the top and bottom side is a square with area 16

Answer 56

so the length is?

Answer 57

what length ? this is a square on the top and bottom
and the height remained the same 12 inch

Answer 58

because with the original box the length was 8 the width is 2 and height was 8

Answer 59

these you have wrote above on the top

l=8
w=2
h=12

Answer 60

so the heght is 12 and not 8

Answer 61

l=8
w=2
h=12

Answer 62

i mean height was 12 ^^^

Answer 63

yes do you see it now

Answer 64

so with our new cal what would be the new l w and h?

Answer 65

bc. the base is a square so on the top will be a square too with sides length 4 so area of the top and bottom sides will be 4*4=16
bc. we need mentioning the volume constant
yes ?

Answer 66

before was the area of base 8*2=16 so now will be 4*4=16
and the height not will be changed

Answer 67

so what is the length since the area of the base is 16

Answer 68

length of what ?

Answer 69

the height is 12

Answer 70

how many was before

Answer 71

yes the original is l=8 w=2 h=12

Answer 72

and now for we get ,minimize the surface area and with this the cost of ... so we made smaler the base length 8 on 4 and the width from 2 greater on 4 too

and hence we have got surface area equal 224 inch squared when firstly what was 272 inch squared

Answer 73

wait so the l=8?

Answer 74

not 8 was firstly now is 4

Answer 75

so what w?