An open box is built in the shape of a cuboid, with the length of the base twice as long as the width of the base, to maximise the volume. The total surface area of the box is 5400 square centimetres, let x be the width of the box and h be the height of the box. If height is h=2700-x2/3x Show that v=1800x-2/3x3  (minus two third x3)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.74TI: A rectangular tablecloth has an area of 80 square feet. The width is 5 feet shorter than the length...
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An open box is built in the shape of a cuboid, with the length of the base twice as long as the width of the base, to maximise the volume. The total surface area of the box is 5400 square centimetres, let x be the width of the box and h be the height of the box. If height is h=2700-x2/3x Show that v=1800x-2/3x3  (minus two third x3)

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