A rectangular box is designed to have a square base and an open top. The volume is to be 4000 in. What is the minimum surface area that such a box can have? Answer in.?

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Q: 1) The volume of an open box with a square base is 4,000 cu.cm. Find the dimensions of the box if…

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Q: A rectangular tank that is 1372 ft° with a square base and open top is to be constructed of sheet…

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Q: The Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a…

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

Q: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

A: Given: Rectangular tank with square base (open at the top) Volume is 5324 cubic feet. To find: The…

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Q: late the volume of a water cylinder with a total height of 10 meters and whose diameter is 400…

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Q: A closed rectangular box has volume 26cm^3. What are the lengths of the edges giving the minimum…

A: Given a rectangular box which has volume 26 cm^3.

Q: Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the…

A: Given:              A regular polyhedron of n faces is inscribed in a sphere of radius length 6 in.

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

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

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Q: A rectangular box has a square base. If the sum of the height and the perimeter of the square base…

A: Explanation of the answer is as follows

Q: The minimum vertical dimension (B) for the junction box shown in the Figure is _______

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A: Given, The dimension of the rectangle of the largest area can be inscribed in a semicircle of radius…

Q: A rectangular box, open at the top, is to contain 32 in³. Find the dimensions of the box for which…

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Q: A cylinder with no top is to have a volume of 100π cubic centimeters. Find the minimum possible…

A: To find the minimum possible surface area of the given type of cylinder.

Q: A rectangular container with a square base, an open top, and a volume of 1,372 cm3 is to be made.…

A: Given:The rectangular container contains a square base and an open top.The volume of the container…

Q: A square-based prism has a volume of 8000 mm3 . What are the dimensions of the prism for the minimum…

A: Consider a square-based prism which has a volume of 8000 mm3.  The objective of the problem is to…

Q: A rectangular tank with a square​ base, an open​ top, and a volume of 37,044 ft3 is to be…

A: Given,Volume of the rectangular tank = 37044 ft3

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A: Given Data: The volume of the square-based prism is: V=8400 cm3 The equation of surface area is:…

Q: A rectangular tank with a square base, an open top, and a volume of 8788 ft 3 is to be constructed…

A: A rectangular tank has square base Let x be the base of the tank  and y be the height  x is the…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A: Given:- A company is constructing an open-top, square-based, rectangular metal tank that will have a…

Q: A closed rectangular box has volume 22 cm3. What are the lengths of the edges giving the minimum…

A: Minimization problem

Q: Suppose there is a rectangle with length L and width W (W<_L) (in inches) that has an area of 169…

A: Since, we know that Area=Length×Breadthand Perimeter=2(Length+Breadth)Here Length=L and…

Q: Find the dimensions of the rectangular box, open at the top, which has a minimum surface area if the…

A: Let us consider the width, length and height of the rectangular box are x, y and z respectively.…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

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Q: Find the rectangular box of maximum volume if the sum of the lengths of the edges (x + y + z) is 324…

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Q: 2) An open box constructed from a tin sheet has a square base and a volume of 216 in cubed. Find the…

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Q: If an open box has a square base and a volume of 103 in.3 and is constructed from a tin sheet, find…

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Q: A box with a square base and open top must have a volume of 2500 cm3. What is the minimum possible…

A: Let's assume the sides of the square base = a and height of the box = h  So, the volume of the box =…

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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Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions 4 cm x…

A: The dimensions of the box is 4cm×4cm. Let each side of the square cut off from each corner be x cm.…

Q: A rectangular tank with a square base, an open top, and a volume of 16,384 ft° is to be constructed…

A: Given : Volume of rectangular is given 16384 ft3  Now we find surface Area and dimensions

Q: A rectangular tank that is 1372 ft° with a square base and open top is to be constructed of sheet…

A: The tank with minimum weight is the one with minimum surface area. Since the base is square, its…

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 .