A rectangular solid with a square base has a surface area of 37.5 square centimeters. (Let w represent the width of the sides of the square base and let h represent the height of the solid.) (a) Determine the dimensions (in cm) that yield the maximum volume. W = cm h = cm (b) Find the maximum volume (in cm3). Cm 3

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Author:Bruce Crauder, Benny Evans, Alan Noell
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ChapterA: Appendix
SectionA.2: Geometric Constructions
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A rectangular solid with a square base has a surface area of 37.5 square centimeters. (Let w represent the width of the sides of the square base and let h represent the height
of the solid.)
(a) Determine the dimensions (in cm) that yield the maximum volume.
W =
cm
h =
cm
(b)
Find the maximum volume (in cm³).
cm 3
Transcribed Image Text:A rectangular solid with a square base has a surface area of 37.5 square centimeters. (Let w represent the width of the sides of the square base and let h represent the height of the solid.) (a) Determine the dimensions (in cm) that yield the maximum volume. W = cm h = cm (b) Find the maximum volume (in cm³). cm 3
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