Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - Test: Chapter 4 - Page 300: 43

Answer

$$V=l^3-3l^2+2l$$

Work Step by Step

We express each dimension in terms of length: $$l=l \\ h=l-1 \\ w=l-2$$ Thus, using the equation for volume, we find: $$ V=lwh \\ V=l\left(l^2-3l+2\right) \\ V=l^3-3l^2+2l$$
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