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

nitraiddQ

Answered question

2020-11-29

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.

Answer & Explanation

likvau

likvau

Skilled2020-11-30Added 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: Assume that x is the length of one of the cube's sides.
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 
Result: Thus, the function that models the surface area of cube in terms of volume is S=6V32

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