Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - 9.3 - Solving Quadratic Equations Using Square Roots - Monitoring Progress - Page 500: 10

Answer

$w=5.9$ feet $l=17.7$ feet

Work Step by Step

$$V=lwh$$ $$315=3w(w)3$$ $$315=9w^2$$ $$w^2=315:9$$ $$w^2=35$$ $$w=\pm \sqrt{35}$$ Take the positive value $$w=\sqrt{35}\approx 5.9\text{ feet}$$ $$l=3w=3\sqrt{35}\approx 17.7\text{ feet}$$
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