A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S of the beam is directly proportional to the width and the square of the height. What are the dimensi strongest beam that can be cut from a round log of diameter 44 centimeters? (Hint: S = kh2w, where k is the proportionality constant.) W = h = cm cm

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S of the beam is directly proportional to the width and the square of the height. What are the dimensions of the
strongest beam that can be cut from a round log of diameter 44 centimeters? (Hint: S = kh2w, where k is the proportionality constant.)
W =
h =
cm
cm
W
Transcribed Image Text:A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S of the beam is directly proportional to the width and the square of the height. What are the dimensions of the strongest beam that can be cut from a round log of diameter 44 centimeters? (Hint: S = kh2w, where k is the proportionality constant.) W = h = cm cm W
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