How does the shape of an ice cube affect how quickly it melts?
Can someone please help me find the independent variable and dependent
Variable of that question? Thanks|||If you are fashioning your formula based on same mass or same volume of ice at similar temperatures,
Independent variables: Volume, Mass, temperature
Dependent variables: Surface area exposed (surface tension), duration
The rate at which your ice melts does depend upon it's shape. To be
specific, different shapes have different amounts of surface area. For
example, your cube shaped ice has six squares on it's surface, where as
the half-moon or half-cylinder shaped ice has two semicircles and two
rectangles (one is straight and the other curved). So even though both
ice shapes have the same mass, density and volume, they have different
amounts of surface area, depending upon the dimensions (length, height,
radius) of the shapes. By increasing the surface area, the rate of a
process (such as ice melting) increases as more of the ice is exposed to
the warmer atmosphere.
Volume of a cube = L鲁
L = length of the cube side
Volume of a half-cylinder = PI r虏h/2
r = radius of the cylinder
h = height of the cylinder
Surface area of a cube = 6L虏
Surface area of the half-cylinder = PI r虏 + dh + PI rh
d = diameter of the cylinder (equal to 2r)
The first term is the area of the two semicircles
The second term is area of the flat rectangle
The third term is the area of the curved rectangle
If you put values into these equations, you will find that the half-moon
shape ice has greater surface area. However, the surface area of this
shape can change if you alter some of the dimensions.|||the independent variables have to do with the shape of the cube, and the externally applied temperature
the dependent variable is then the time it takes for a cube that size to melt at that surrounding temperature|||I am following this question because I want to see the answer.
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