In these problem you are asked to find a function that models a real-life situation. Area. Find a function that models the surface area S of a cube in terms of its volume V.

nitraiddQ 2020-11-29 Answered
In these problem you are asked to find a function that models a real-life situation.
Area. Find a function that models the surface area S of a cube in terms of its volume V.
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likvau
Answered 2020-11-30 Author has 75 answers
Concept used:
Surface area of cube is defined as,
A=6a2........(1)
Here, A is area, a is one of its length.
Calculation:
Consider the length of one of the side of cube is x.
The volume of cube is defined as,
V=a3
Solve the above equation for a as,
3{V}=a
Substitute 3{V} for a in equation (1) to obtain the model that express area of cube.
S=6(3{V})2
=6V32
Answer:
Thus, the function that models the surface area of cube in terms of volume is S=6V32
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