Answer
$SA = 6V^{\frac{2}{3}}$
Work Step by Step
Surface Area of a cube = $SA = 6x^2$
Volume of a cube = $V = x^3$
Thus $x = V^{\frac{1}{3}}$
Substitute x for that in the SA formula
$SA = 6{V^{\frac{1}{3}}}^{2}$
$SA = 6V^{\frac{2}{3}}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 2 - Review - Modeling with Functions - Problems - Page 240: 8
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