Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 375: 46

Answer

\[B=\frac{3V}{h}\].

Work Step by Step

The provided formula is\[V=\frac{1}{3}Bh\] and now solve the formula for \[B\] by multiplying both the sides by \[\frac{3}{h}\] \[\begin{align} & V=\frac{1}{3}Bh \\ & \frac{3}{h}\times V=\frac{{}}{{}}\times \frac{1}{{}}B \\ & B=\frac{3V}{h} \end{align}\] The formula \[V=\frac{1}{3}Bh\]is for volume of a pyramid, where \[V=\] volume of the pyramid, \[B=\]area of base of the pyramid, and\[h=\] height of the pyramid. The formula is\[B=\frac{3V}{h}\].
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