A cardboard box without a lid must have a volume of 4m³. - Determine the dimensions that minimize the amount of cardboard used and how many square meters of cardboard were used

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A: Given, Square base, Therefore, l=b=x Let height be h. Therefore, Volume= lbh =x²h Given, Volume=…

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A: Topic- Application of Derivative

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Q: a box with a square base and an open top must have a volume of 4000 cm^3. find the dimensions of the…

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Q: A box with a square base and open top must have a volume of 32,000cm^3. Find the dimensions of the…

A: Given Data: The volume of the box is: V=32000 cm3 Let, The side of the square base is x and the…

Q: Suppose that postal requirements specify that parcels must have length plus girth at most 84 inches.…

A: Length + girth = 84 inches. Here, length = h girth = 4x so, we write h+4x=84.........(1)

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A: Let dimension of tank be a*a*hBase area=a*a=a2height of tank=hgiven,   volume=32+t3   a2h=32…

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Q: A cardboard box without a lid is to be made with a volume of 4 ft3. Find the dimensions of the box…

A: Given details                                                volume = 4 ft3 Let cardboard dimension…

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A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

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Q: A box with a square base and open top must have a volume of 4000 cm. Find the dimensions of the box…

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Q: A box with a square base and open top must have a volume of 32,000cm³. Find the dimensions of the…

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Q: A cardboard box without a top is to have a volume of 32,000 cm3 . Find the dimensions that minimize…

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