Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 0 - Before Calculus - Chapter 0 Review Exercises - Page 46: 7

Answer

(a) $V = (6 − 2x)(5 − x)x ft^3$. (b) $0 < x < 3$ (c) $3.57 ft ×3.79 ft ×1.21 ft$

Work Step by Step

(a) The base has sides $\frac{(10 − 2x)}{2}$ and $6 − 2x$, and the height is $x$, so $V = (6 − 2x)(5 − x)x ft^3$ (b) From the picture below we see that $x < 5$ and $2x < 6$, so $0 < x < 3$ (c) $3.57 ft ×3.79 ft ×1.21 ft$
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