Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

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

Answer

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: $2\times9\times4=72$ 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: $2(34)\times9(34)\times4(34)=68\times306\times136=2,829,888$ sq in Divide the actual area by the area of the model to find how many times greater $2,829,888\div 72=39,304$
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