Math, Please check answers

I do not want to fail this, could you please help me with number 1 and 3.D, and then check my other answers? Thank you.

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
Sphere|S.A+4 pi r^2|V=4/3 pi r^3
Cylinder| S.A=2 pi r^2+2 pi rh |V= pi r^2 h

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.

I would say a cube would be best for an ice shape.

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?

Large 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.

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  3. 👁 3,051
  1. #1 just divide volume by area. For the cube, that's

    v/a = s^3 / 6s^2 = s/6

    #2. You're just guessing, if you haven't answered #1. And what is the "best" shape for the ice solid? I assume you want to use the least material to get a desired volume. So, you need to find the maximum v/a ratio.

    #3 (a) to keep the drink cold, you want the ice to last as long as possible. That means exposing the least surface area.

    (b) to chill the drink fast, you would want larger surface exposure. To maintain some cooling longer, low area.

    (c) depends on your goal, as noted in (b)

    (d) Note that in every case, the ratio includes a factor of size. The larger the volume, the larger the ratio.

    #4. by the time you have considered the other parts, done some googling of the questions, this should not be too much of a challenge.

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  2. Poo mc p

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  3. Kiss My Shiny Metal Bum :)

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  4. This helped me a little.. thanks

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  5. I THINK IT WAS HELPFUL

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  6. surface area of a cubs is 150 cmit volume will be

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  7. OML!
    cube shaped sphere shaped cylinder shaped

    volume 16 16 xx 16
    surface area xx 38.097625 30.706532 35.207969xx
    v/sa ratio xx .419973 xx .521061 xx .454442
    sa/v ratio xx 2.381101 1.19158 xx 2.200498
    xx
    >.< My Qustion: am i right? & C. Which volume-to-surface-area ratio would be better for an ice cube— the lowest possible or the highest possible? IM THE CONFUSED!

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  8. ummm sock

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  9. this was not helpful thanks for giving me an f i am going to fail now thanks to you all wow bye see u never

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  10. No one told you to copy😂😂

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