A rectangular box, open at the top, has a volume of 256 cubic units. a) What must be the dimensions of this box, such that its total surface area is a minimum?

Q: 2. A toolbox is shaped like a rectangular prism with a square bottom.. Its top and front are…

A: Let the length=L Width=W Height =H The surface area of the four metal faces =  176 square inches

Q: If 1200cm² of material is available to make a box with square base and an open top, find the largest…

A: Given: 1200 cm2 of material is available to make a box with square base and open top.To find: The…

Q: What is the volume of a traingular prism

A: we have to find volume of the triangular prism Let there be a triangular prism having dimensions a,…

Q: If the total surface area of a solid right circular cylinder is 200pi sq. cm. and its radius is 5cm,…

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Q: The volume of the resulting open top box when identical squares with side x are cut off from the…

A: Given that, the dimensions of the aluminum sheet are three-meter by five-meter. To find: The volume…

Q: Choose two figures which are topologically equivalent to each other 20 L.

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Q: By cutting a wedge from paper disk of radius r, a cone shaped water cup can be made by joining the…

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Q: Squares with sides of length x are cut out of each corner of a square piece of cardboard with sides…

A: Length of the box, l=L-2xWidth of the box, w=L-2xHeight of the box, h=x Volume of the box, Vx=lwh⇒…

Q: Two cubes of same side 6 cm are joined end to end. Then, the total surface area of the new cuboid is…

A: Formula Used: Surface area of cuboid   Surface Area=2 [lb+bh+hl]

Q: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

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Q: A box with a square base and no top has a volume of 500 cubic inches. Find the smallest possible…

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Q: A rectangular box has a square base whose edges have length at least one centimeter, and its total…

A: We will use Calculus to maximize the volume with the given constraint of the total surface area. We…