College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 1 - Problems: 12

Answer

The volume of the room has increased by a factor of 3.6

Work Step by Step

Let $W$ be the original width. The new width is $2W$ Let $L$ be the original length. The new length is $1.5L$ Let $H$ be the original height. The new height is $1.2H$ The original volume was $V = WLH$ We can find the new volume $V'$: $V' = (2W)(1.5L)(1.2H)$ $V' = 3.6~WLH$ $V' = 3.6~V$ The volume of the room has increased by a factor of 3.6
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