# Math

I am doing a project, are my answers correct?

1. Find and simplify the volume-to-surface-area ratio for each of the three possible ice cube shapes. You can use this chart.
|Shape| S/A Formula|Volume Formula
Cube | S.A=6s^2 | V=s^3
6/s
Sphere|S.A+4 pi r^2|V=4/3 pi r^3
3/r
Cylinder| S.A=2 pi r^2+2 pi rh |V= pi r^2 h
2/h + 2/r = 2 (r+h)/rh
2. Use the ratios to choose the best shape for an ice cube—a cube, sphere, or cylinder. Also, choose what you think is the best size for that shaped ice cube.
A cylinder is the best shape for an ice cube.
3. Consider these questions as you make your decision:
a. Since the purpose of an ice cube is to keep a drink cold, is it better for an ice cube to have a high volume or a low volume?
Low volume
b. Since heat touching the surface of an ice cube causes it to melt, is it better for an ice cube to have a large surface area or a small surface area?
You would want to have the least surface area.
c. Which volume-to-surface-area ratio would be better for an ice cube— the lowest possible or the highest possible?
Lowest possible
d. How does increasing the size of an object affect its volume-to-surfacearea ratio?
4. Create a visual model to show your ice cube design, including the dimensions you would choose and the volume and surface area of that cube.

(picture of a cylinder)
Surface Area = 2(pi r 2) + (2 pi r)* h

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1. #1 you did the area:volume ratio. It asked for volume:area. So, flip all your fractions.

#2 why did you choose cylinder? What makes it "best"?

#3 justify using your criteria. You might want to consider rapid cooling or prolonged chilling effect.

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2. i need help anyone?

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3. i @ms.sue plzzz help me

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4. d. How does increasing the size of an object affect its volume-to-surfacearea ratio?

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5. But why go to all the fuss of making spherical ice cubes? What’s wrong with regular ice cubes? The answer is surface area to volume ratio: the volume of the ice provides the cooling effect but the surface area controls how fast the ice melts – the lower the surface area to volume ratio the longer the ice will take to melt for the same cooling effect. Essentially, a lower surface area to volume ratio keeps your drink cold, but stops it from becoming too diluted.

A cube with sides of length x will have a volume of x3 and a surface area of 6x2. The surface area to volume ratio for a cube is therefore 6 to 1 (6:1). Of all the Platonic solids (solids with identical faces) the icosahedron has the lowest surface area to volume ratio.

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6. help i guess ITS A CONNEXUS SCHOOL PROBLEM ITS NOT LITERal

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7. I think that C is wrong. I think it is the highest because when you increase size you are increasing dimensions and by increasing dimensions you have an outcome of volume to surface area ratio.

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8. We do watch these sites.

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9. ConnexusTeacher I think you forgot the part where you are a student

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10. This was helpful! Thanks :)

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11. no it wasn't

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12. Can someone explain number 1

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13. i need someone to explain it to me because im sooo confused

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14. don't worry, ill explain number 1 in a bit i gotta type the answer.

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15. The volume of a cube is defined as
V = s^3

The surface area of 3 cubes:
SA = 3*6s^3
SA = 18s^3

The volume of 3 cubes
V = s^3
V = 3s^3

Volume-to-surface-area ration

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16. V:SA
s^3 : 6s^2 = 3s^3 : 18s^2

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17. Ya guys some of you don't go to our school its a Connexus or connections academy problem

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18. why is Connexus so hard tho? Like get an A on a unit test nothing happens fail 1 quick check ur A goes down to a D

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19. connexus sxcks: connexus is great. It's called percents. maybe u should learn then so u wouldn't fail ur quick checks :)

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20. Alicia you got here somehow to so don't even act like you didnt get here from searching it bc how else did you get here?

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21. I need help with #3 & #4

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22. same

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23. well this was not very helpful :.)

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