A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount of material used. sides of base cm height cm

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A: in a cube each face is square volume of cube =(side)3

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A: Topic- Application of Derivative

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A: Given,  V=32 m3                                      ..........................(1) The amount of…

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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…

A: Let the length of each side of the base= x Height=y So

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A: It's given that the box has a square base. However, nothing is said about the the height.  Let the…

Q: A box with a square base and open top must have a volume of 13,500 cm. Find the dimensions of the…

A: Given query is to find the sides of the box

Q: A box with a square base and open top must have a volume of 62,500 cm3. Find the dimensions of the…

A: Let the length of the sides of the base= x cm Height = y cm

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A: Given: We are designing a poster to contain 120 cm2 of printing with a 4-centimeter wide margin at…

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…

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A: We know that the volume of the box with square base x cm and height h cm is given byV=x2hThe amount…

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Q: A box with a square base and open top must have a volume of4000 cm^3. Find the dimensions of the box…

A:

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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: The solution is given below:

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A: Given  Volume of the box = 36814 ft3  Cost of the material for top and sides are = $3 per square…

Q: A Box with a Square base and an open Top must have a volume of 500 cm'. Find the dimensions of the…

A: A box with a square base and an open top must have a volume of 500 cm. To find: The dimensions of…

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

A:

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Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A:

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

A:

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A:

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: A box with no top has a square base and 65 cm^2 of material is used

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A: Let the dimensions of a rectangular aquarium is Length =l Width=w Height=h Now, The volume is,…

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A: Let the height of the box is h and the base of the box is square of length x. so the volume of the…

Q: A box with a square base and open top must have a volume of 32000 cm³. Find the dimensions of the…

A: To find the dimensions of the box that minimize the amount of material used to construct it.

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: Topic = Volume

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Q: We are designing a poster to contain 250 cm2 of printing with a 1-centimeter wide margin at the top…

A: Given Designing a poster to ccotain =250 cm2wide margin at the top and bottom =1 cmand wide margin…

Q: A box with square base and open top has a volume of 1000 m³. Find the dimensions of the box which…

A: This question can be solved using the concept of maxima and minima.

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A: Given that the dimensions of a closed rectangular box that has a square cross sections a capacity of…

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

A:

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A: A closed-top storage box with a square base has a capacity of 64 m3. We have to find the dimensions…

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A:

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

A:

Q: A builder intends to construct a storage shed having a volume of 900 cubic feet. and flat roof, and…

A: According to the given information:Volume of storage shed = 900 cubic feet Width = 2/3 of the length…

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: To find the dimensions

Q: Find the dimensions of a open topped box that maximizes the volume with the constraint that the…

A: We will use Lagranges multiplier method to find dimension of the box .

Q: A cardboard box without a lid is to have a volume of 32,000 cm^3. Find the dimensions that minimize…

A: