A juice box must contain 500 ml of liquid and have a square base. Which dimensions of the box will minimize the amount of cardboard needed to build it? Assume no waste and no overlaps for closing the box.

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A: Given,    The volume of rectangular box is 48 cubic inches.

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A: Given that the tank with a square base can accommodate 1922 cubic feet of water. Let, x=side length…

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

Q: A closed rectangular box is to have a volume of 250 cubic centimeters. If the material for the top…

A: Given:  Volume=250 cm3

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A: I have solved  with detail and find the dimensions.Given the final solution in boxes.

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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

Q: Find the dimensions of a rectangular box of volume 1000cubic inches for which the sum of the…

A: Let x,y,z be the length, breadth and the height of the rectangular boxxyz=1000  and the sum…

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A: The area and circumference of the circle is πr2, 2πr respectively, where r is the radius of the…

Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should…

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging.…

Q: A rectangular poster is to contain 800 square inches of print. The margins at the top and bottom of…

A: Given data: Area of the poster which contains print is: A = 800 in2 Margin at top and bottom is: x0…

Q: A fence must be built to enclose a rectangular field with an area of 200 square meters. If the cost…

A: Given, Area of rectangular field = 200 square meters  cost of materials for one pair of parallel…

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Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

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Q: A box with a square base and open top must have a volume of 512 cubic inches. Find the dimensions of…

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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 an open top must have a volume of 32,000 cubic centimeters. Find the…

A: let x denotes the length of the sides on the square base assume height of the box is h   Then the…

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Q: A homeowner wants to build, along her driveway, a garden surrounded by a fence.   If the garden is…

A: Let the length (in feet) of the garden along the driveway and perpendicular to driveway be x and y…

Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A: Given query is to find the dimensions of the gardern to minimize the cost.

Q: The volume of the box is 54 cubic inches. The material for the top cost $0.08 per square inch, for…

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Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A: Assume that the length of the base of the square be x and height be y. Since the volume of the box…

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Q: The sum of the perimeters of an equilateral triangle and a square is 18. Find the dimensions of the…

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A: We have to find maximum possible area that each of the four pens will enclose.

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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.

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Q: me of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for…

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Q: 2. Find the dimensions of a rectangle with an area of 108 square feet that has the minimum…

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Q: A box with a volume of 8 m3 is to be constructed with a gold-platedtop, silver-plated bottom, and…

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Q: A trash company is designing an open-top, rectangular container that will have a volume of 5000 ft°.…

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