Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 52


8 times larger

Work Step by Step

Find the volume of small and big using the formula (volume=length $\times$ width $\times$ height). SmallV=(3x)(3x)(3x)=$27x^{3}$ BigV=(6x)(6x)(6x)=$216x^{3}$ The ratio of big to small is $216x^{3}$:$27x^{3}$.Divide to solve how much larger the big cube is. $\frac{216x^3}{27x^3}$=8 It is 8 times larger
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