2. A rectangular box has a square base with edges at least 10 cm long. It has no top, and the total area of its five sides is 600cm2. What is the maximum volume of the box?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....
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2. A rectangular box has a square base with edges at least 10 cm long. It has no top, and
the total area of its five sides is 600cm². What is the maximum volume of the box?
3. A rectangle with a fixed perimeter of 64 units is rotated about one of its sides, thus
sweeping out a figure in the shape of a right circular cylinder. What is the maximum
volume of the cylinder?
Transcribed Image Text:2. A rectangular box has a square base with edges at least 10 cm long. It has no top, and the total area of its five sides is 600cm². What is the maximum volume of the box? 3. A rectangle with a fixed perimeter of 64 units is rotated about one of its sides, thus sweeping out a figure in the shape of a right circular cylinder. What is the maximum volume of the cylinder?
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