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

  1. 👍
  2. 👎
  3. 👁
  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.

    1. 👍
    2. 👎
  2. i need help anyone?

    1. 👍
    2. 👎
  3. i @ms.sue plzzz help me

    1. 👍
    2. 👎
  4. d. How does increasing the size of an object affect its volume-to-surfacearea ratio?

    1. 👍
    2. 👎
  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.

    1. 👍
    2. 👎
  6. help i guess ITS A CONNEXUS SCHOOL PROBLEM ITS NOT LITERal

    1. 👍
    2. 👎
  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.

    1. 👍
    2. 👎
  8. We do watch these sites.

    1. 👍
    2. 👎
  9. ConnexusTeacher I think you forgot the part where you are a student

    1. 👍
    2. 👎
  10. This was helpful! Thanks :)

    1. 👍
    2. 👎
  11. no it wasn't

    1. 👍
    2. 👎
  12. Can someone explain number 1

    1. 👍
    2. 👎
  13. i need someone to explain it to me because im sooo confused

    1. 👍
    2. 👎
  14. don't worry, ill explain number 1 in a bit i gotta type the answer.

    1. 👍
    2. 👎
  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

    1. 👍
    2. 👎
  16. V:SA
    s^3 : 6s^2 = 3s^3 : 18s^2

    1. 👍
    2. 👎
  17. Ya guys some of you don't go to our school its a Connexus or connections academy problem

    1. 👍
    2. 👎
  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

    1. 👍
    2. 👎
  19. connexus sxcks: connexus is great. It's called percents. maybe u should learn then so u wouldn't fail ur quick checks :)

    1. 👍
    2. 👎
  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?

    1. 👍
    2. 👎
  21. I need help with #3 & #4

    1. 👍
    2. 👎
  22. same

    1. 👍
    2. 👎
  23. well this was not very helpful :.)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math for Ms. Sue please! Last math questions!

    For numbers 1–3, find the indicated measurement of the figure described. Use 3.14 for pi and round to the nearest tenth. Find the surface area of a sphere with a radius of 8 cm. 267.9 cm^2 803.8 cm^2 2143.6 cm^2 201.0 cm^2 Find

  2. Some algebra please help me!

    1) Find the surface area of a sphere with a radius of 8 cm. A 267.9 cm B 803.8 cm *** C 2143.6 cm D 2010. cm 2) Find the surface area of a sphere with a radius of 4 ft. A 452.2 m B 150.7 m C 113.0 m D 904.3 m *** 3) Find the

  3. Math

    5. Find the surface area of the cylinder to the nearest whole number. (1 point)1,659 in.2 898 in.2 5,862 in.2 2,959 in.2 6. Find the surface area of the pyramid shown to the nearest whole number. (1 point)1,540 m2 770 m2 396 m2

  4. Math

    1.) find the volume of the given pyramid. H= 7yd B= 7yd and L= 9yd A. 147yd.^3 B. 157 yd.^3 C. 221 yd.^3 D. 441 yd.^3 ******* 2. Find the volume of a square pyramid with a base length of 9 cm and a height of 4cm. A. 324cm. ^3 B.

  1. 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

  2. Biology

    Compared with a smaller cell, a larger cell of the same shape has a. the same surface-to-volume ratio. b. a smaller cytoplasm-to-nucleus ratio. c. less surface area. d. a smaller average distance between its mitochondria and the

  3. Math(Please help)

    Related Rates: Gas is escaping from a spherical balloon at the rate of 2ft^3/min. How fast is the surface area shrinking (ds/dt) when the radius is 12ft? (A sphere of radius r has volume v=4/3 pi r^3 and surface area S=4pi r^2.)

  4. math

    Analyze It Questions: 1. 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? Why? (At least 3 sentences.) 2. Since heat touching the surface of an ice cube

  1. Math

    How does increasing the size of an object affect its volume to surface area ratio?

  2. mathematics

    A rectangular prism has sides that are in the ratio of 5:7:11. If the volume of the prism is 10395 cm3, then the surface area of the prism in square millimetres is __ The sides of the prism are all ___ times as large as the

  3. Biology

    How does the size of a cell’s surface area change compared to its volume when the cell grows? a. The surface area remains constant as the volume changes. b. The surface area increases at the same rate the volume does. c. The

  4. Math

    I really do not want to fail this project, could anyone please help me understand this and go through step by step with me? Thank you so much. Modern Design magazine is having a contest to design the best ice cube in one of three

You can view more similar questions or ask a new question.