Mathematics
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OpenStudy (southernbell82):
Urgent Please Help!!! Last Project of the year and school ends today and I will fail Geometry . Can anyone help??
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OpenStudy (southernbell82):
I have completed some of the project but, I am completely lost on the rest of it!
OpenStudy (smartnerd1111):
hi
OpenStudy (amtran_bus):
We need to know what the project is. :)
OpenStudy (smartnerd1111):
yeah what is the projedct about
OpenStudy (southernbell82):
Hey! I am attaching it!
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OpenStudy (southernbell82):
I am going to fail if this is not done by 11:59 :(
OpenStudy (southernbell82):
does anyone know how to do the rest of this??
OpenStudy (southernbell82):
@AmTran_Bus @agent0smith @Vocaloid
Vocaloid (vocaloid):
ok so i'm at the packaging shapes part
Vocaloid (vocaloid):
for cylinders and spheres, an example of a pro is that the volume is high compared to surface area
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Vocaloid (vocaloid):
cones and pyramids...
Vocaloid (vocaloid):
hm.
Vocaloid (vocaloid):
any ideas for pros?
OpenStudy (southernbell82):
I completely lost and I am going to fail!
OpenStudy (amtran_bus):
@Vocaloid is on fire!
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OpenStudy (amtran_bus):
Why did you wait till last minute?????????
Vocaloid (vocaloid):
can you think of any reasons why a pyramid or cone shape might be a good package idea?
OpenStudy (southernbell82):
I was working on other projects :(
OpenStudy (southernbell82):
No. Only that they would be easier to pour from
Vocaloid (vocaloid):
that's good!
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Vocaloid (vocaloid):
you can write that
Vocaloid (vocaloid):
for cons, you could say that they can't be stacked
Vocaloid (vocaloid):
well not easily
OpenStudy (wolf1728):
Cones, Pyramids AND spheres can't be tightly packed
OpenStudy (southernbell82):
Okay thanks how about pros for those??
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OpenStudy (southernbell82):
Cylinder and Sphere?
OpenStudy (wolf1728):
Sphere would be cheapest in terms of surface area to volume
Vocaloid (vocaloid):
well, pyramids and cones you mentioned before (pouring?)
spheres have high volume/surface area
Vocaloid (vocaloid):
I just went over cylinder at the beginning
OpenStudy (southernbell82):
So Sphere would be cheapest to make?
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Vocaloid (vocaloid):
yes
Vocaloid (vocaloid):
now all that's left is triangular prisms and rectangular prisms
OpenStudy (southernbell82):
Yep for that part!
OpenStudy (southernbell82):
What about cube pro/con?
Vocaloid (vocaloid):
oh for cubes well
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OpenStudy (wolf1728):
Cube con - inconvenient shape - doesn't stack well in store or at home - hard to hold with one hand.
Vocaloid (vocaloid):
pros for cube is high volume/surface area ratio
OpenStudy (southernbell82):
Thank Y'all How about Triangle Prism Pro/Con?
OpenStudy (wolf1728):
Triangle prism pro - doesn't fall over (if manufactured with a low height)
Vocaloid (vocaloid):
oh
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Vocaloid (vocaloid):
oh right, triangles are actually more stable
OpenStudy (southernbell82):
Cool Thanks!! Help me pick one that would cost the least to make!
OpenStudy (wolf1728):
Look at this
OpenStudy (wolf1728):
In terms of cardboard cost sphere is cheapest
OpenStudy (southernbell82):
What measurements should I use on the sphere to equal the first part of the file I attached?
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OpenStudy (southernbell82):
I am on the one right before the last question. Right above the net.
Vocaloid (vocaloid):
your volume was 240 inch^2
OpenStudy (southernbell82):
This shape must hold same amount of cereal but reduce costs.
OpenStudy (southernbell82):
Okay!
Vocaloid (vocaloid):
you solve 240 = a^3 for a
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Vocaloid (vocaloid):
any ideas how?
OpenStudy (wolf1728):
sphere volume = (4/3) PI* r^3
Vocaloid (vocaloid):
her work sheet says she chose a cube though?
Vocaloid (vocaloid):
unless you wanna switch, that's ok too
OpenStudy (wolf1728):
Okay - sorry :-(
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OpenStudy (southernbell82):
Will the cube be cheap also?
Vocaloid (vocaloid):
yes
Vocaloid (vocaloid):
the formula will be easier to calculate
Vocaloid (vocaloid):
also the cube won't roll away randomly
OpenStudy (southernbell82):
So what do I put in the second section that says Surface area? And Volume?
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Vocaloid (vocaloid):
volume first
Vocaloid (vocaloid):
if 240 = a^3, what does a = ?
OpenStudy (southernbell82):
6.12?
Vocaloid (vocaloid):
6.21
OpenStudy (southernbell82):
That's what I meant to type.
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Vocaloid (vocaloid):
the dimensions of a cube are equal so
OpenStudy (wolf1728):
6.21 is it
Vocaloid (vocaloid):
*6.21
Vocaloid (vocaloid):
for all
OpenStudy (southernbell82):
So I put that in the surface area box?
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Vocaloid (vocaloid):
volume
Vocaloid (vocaloid):
not surface area
OpenStudy (wolf1728):
Surface area = 6*21*6.21*6
Vocaloid (vocaloid):
right
Vocaloid (vocaloid):
just to clarify
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Vocaloid (vocaloid):
volume = 6.21^3 = 240
surface area = 6.21 * 6.21 * 6 = 231
Vocaloid (vocaloid):
now for the part where it says "Prove that your new design holds the same amount but can be manufactured more cheaply."
Vocaloid (vocaloid):
just show that the new surface area (231 inch^2 is less than the old surface area 292) but the volumes are both equal (240)
Vocaloid (vocaloid):
ready to keep going?
OpenStudy (southernbell82):
Yes I am!! You are a lifesaver!!! :)
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Vocaloid (vocaloid):
the part where it says draw a net
OpenStudy (wolf1728):
Yes vocaloid has done quite well!!
OpenStudy (southernbell82):
What numbers do I put on it?
Vocaloid (vocaloid):
since all the sides are the same, just label each side 6.21
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OpenStudy (southernbell82):
Oh My Goodness!! I will pass Geometry because of You!! :)
Vocaloid (vocaloid):
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