Rifa, Wajiha, and Philip are building a shed in the shape of a rectangular prism. The volume of the shed is given by V (x) = 108x – 27x² + 2x³, where x is the height of the shed in meters, for 0 < x < 4. Determine the height of a shed that has the absolute maximum volume.

Algebra: Structure And Method, Book 1
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ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Section5.13: Using Factoring To Solve Problems
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Rifa, Wajiha, and Philip are building a shed in the shape of a rectangular prism. The
volume of the shed is given by V (x) = 108x – 27x? + 2x³, where x is the height of
the shed in meters, for 0 < x < 4. Determine the height of a shed that has the
absolute maximum volume.
Transcribed Image Text:Rifa, Wajiha, and Philip are building a shed in the shape of a rectangular prism. The volume of the shed is given by V (x) = 108x – 27x? + 2x³, where x is the height of the shed in meters, for 0 < x < 4. Determine the height of a shed that has the absolute maximum volume.
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