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An open square box of volume 784000 cubic inches has a square base and 3 partitions inside that are parallel to two sides. Find the dimensions of the box for which the amount of material needed to construct the box is as small as possible. Show all your work

An open square box of volume 784000 cubic inches has a square base and 3 partitions inside that are parallel to two sides. Find the dimensions of the box for which the amount of material needed to construct the box is as small as possible. Show all your work

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An open square box of volume 784000 cubic inches has a square base and 3 partitions inside that are parallel to two sides. Find the dimensions of the box for which the amount of material needed to construct the box is as small as possible. Show all your work
Transcribed Image Text:An open square box of volume 784000 cubic inches has a square base and 3 partitions inside that are parallel to two sides. Find the dimensions of the box for which the amount of material needed to construct the box is as small as possible. Show all your work
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