Algebra 1: Common Core (15th Edition)

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

Chapter 2 - Solving Equations - 2-8 Proportions and Similar Figures - Practice and Problem-Solving Exercises - Page 135: 25


39,304 times as large

Work Step by Step

Since the actual length of each side is 34 times as large, the volume is $34^3$ as large. $34^3$=39,304 Area is the product of width, length and height. The area of the model is: 2×9×4=72 sq in If the scale is 1:34, each side of the actual truck is 34 times as large as the model. The area of the actual truck is: 2(34)×9(34)×4(34)=68×306×136=2,829,888 sq in Divide the actual area by the area of the model to find how many times greater 2,829,888÷72=39,304
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