Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.2 - Radicals and Rational Exponents - Exercises - Page 303: 12

Answer

$6 \text{ in}$

Work Step by Step

$\text{Volume}=s^{3}=216\text{ cm}^{3}$ where $s$ is the length of a side of the cube. $\implies s=\sqrt[3] {216}=\sqrt[3] {6\cdot6\cdot6}=6\text{ in}$
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