Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Chapter 1 Test: 4

Answer

$h=\dfrac{3V}{b}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given formula, $ V=\dfrac{1}{3}bh $ for $ h ,$ use the properties of equality to isolate the variable. $\bf{\text{Solution Details:}}$ Using the properties of equality to isolate the variable results to \begin{array}{l}\require{cancel} 3\cdot V=3\cdot\dfrac{1}{3}bh \\\\ 3V=bh \\\\ \dfrac{3V}{b}=\dfrac{bh}{b} \\\\ \dfrac{3V}{b}=h \\\\ h=\dfrac{3V}{b} .\end{array}
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