SOLUTION: Write S (surface area) of a cube in terms of V (volume).

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Question 157807This question is from textbook Precalculus: Mathematics for Calculus
: Write S (surface area) of a cube in terms of V (volume). This question is from textbook Precalculus: Mathematics for Calculus

Found 2 solutions by Alan3354, mizjoice:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write S (surface area) of a cube in terms of V (volume).
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For a cube with sides of a,
V = a^3
S = 6a^2 (there are 6 faces, each a x a)
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V = a^3
a = cube root of V, = V^(1/3)
S = 6a^2
S = 6[V^1/3]^2
S = 6V^(2/3)
S = 6V/(cube root of V)
S = 6 times the cube root of V squared.
A useless thing to know, imo.


Answer by mizjoice(22) About Me  (Show Source):
You can put this solution on YOUR website!
V = s^3, s= the cuberoot of V