A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 17 yd³ of debris. Find the dimensions of the dumpster that will minimize its surface area. Write the surface area formula in terms of the width, x. Assume the dumpster has an open top. SA = The width of the dumpster is The length of the dumpster is ? (Round to the nearest hundredth as needed.) The height of the dumpster is

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter15: Roots
Section: Chapter Questions
Problem 38A
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A waste management company is designing a rectangular
construction dumpster that will be twice as long as it is wide and
must hold 17 yd³ of debris. Find the dimensions of the
dumpster that will minimize its surface area.
SA =
Write the surface area formula in terms of the width, x. Assume the dumpster has an open top.
The width of the dumpster is
--
The length of the dumpster is
(Round to the nearest hundredth as needed.)
X
The height of the dumpster is
Transcribed Image Text:A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 17 yd³ of debris. Find the dimensions of the dumpster that will minimize its surface area. SA = Write the surface area formula in terms of the width, x. Assume the dumpster has an open top. The width of the dumpster is -- The length of the dumpster is (Round to the nearest hundredth as needed.) X The height of the dumpster is
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