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stanton
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word problem-Please help me to check my procedure
A cubical ice block is melting at a rate that relates to its surface area. Set up an equation for the volume of a cube, C, in terms of its surface area, S.
C=x^3
S=6x^2
let length of the side of the cube:x
dC/dx=3x^2 dS/dx=12x dC/dS=x/4
Now what should I do? I think I did pretty well until now. How should I use this information for getting the answer? Or dC/dS(which is x/4) is the final answer?
Homework Statement
A cubical ice block is melting at a rate that relates to its surface area. Set up an equation for the volume of a cube, C, in terms of its surface area, S.
Homework Equations
C=x^3
S=6x^2
The Attempt at a Solution
let length of the side of the cube:x
dC/dx=3x^2 dS/dx=12x dC/dS=x/4
Now what should I do? I think I did pretty well until now. How should I use this information for getting the answer? Or dC/dS(which is x/4) is the final answer?
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