Find the volume of the largest parallelopiped with faces parallel to coordinate planes that can be inscribe

Q: An open box is to be made out of a 10-inch by 20-inch piece of cardboard by cutting out squares of…

A: Draw the diagram for the given problem for the given conditions and then find the volume

Q: A box is to be made from a square cardboard with length 20 cm in one of its sides by cutting out…

A: Let x be the length of every corner's cut of the square cardboard. Let's first, draw the figure of…

Q: Among all right circular cones with a slant height of 3, what are the dimensions (radius and height)…

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Q: A container with square base, vertical sides, and open top is to be made from 1000 ft2 of material.…

A: Let the container has a base side "x" and height "y"

Q: A rectangular field is to be enclosed and divided into four equal lots by fences parallel to one of…

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Q: Find the dimensions of the right circular cylinder with the largest possible volume that can be…

A: Let 'r' be the radius of right circular cylinder and 'h' be the height of right circular cylinder.…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Given the area of rectangular picnic is 8000 m2 is being constructed along the edge of a river. It…

Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Let h is the dimension  of the square which are being cut at each corner of the cardboard, so The…

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: A rectangular prism of metal having dimensions 4.3 cm by 7.2 cm by 2.4 cm is melted down and recast…

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Q: Find the height of a right circular cylinder of maximum volume, which can be inscribe in a sphere od…

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Q: Find the dimensions of the right cylinder with largest volume that can be inscribed in a sphere with…

A: We need to find dimensions of cylinder.

Q: Find the volume of a right triangular prism whose height is 4 and base is a right triangle with legs…

A: Find the area of base and then multiply the area with height.

Q: A rectangular block of alloy having dimensions 4.30 cm by 7.20 cm by 12.40 cm was melted and recast…

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Q: A block has a mass of 50 kg and a density of 8.91 gram per cubic cm. Find the largest area of a…

A: Mass of a block = 50 kg Density of a block =8.91g/cm3 Mentioned dimension are 10m, 12m, 12m.

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: find the volume of a right pyramid whose altitude is 50 meters and whose base is a square with sides…

A: Given: altitudeh=50m, base lengtha=30m We know that volumeV of square pyramid is given by V=13a2h…

Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius 7

A: Consider the circle with radius 7 be, x2+y2=72x2+y2=49                         …1 Draw the figure of…

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

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Q: Find the largest volume of a right cylinder that can be inscribed in a sphere of radius 12

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Q: Find the dimensions of the right-circular cylinder of greatest volume that can be inscribed in a…

A: Let PQED be the cylinder inscribed in the cone ABC.Radius of cylinder = O'Q = OE = rRadius of cone =…

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

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Q: A rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by cutting out…

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Q: A storage unit is in the shape of a right rectangular prism with a length of 12 feet, a width of 8.5…

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Q: A piece of wires 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let the square be cut =yThen the equilateral triangle will be =10-yTotal area=Area of square+Area of…

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 8…

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Q: A right angle triangle of given hypotenuse 10 is rotated about one of its legs to generate a right…

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Q: Calculate the volume of a water cylinder with total height of 10 meters, diameter of 400…

A: Radius of cylinder = Radius of Hemisphere = R = Diameter2 = 4002 = 200 cmTotal Height of container =…

Q: A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut…

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Q: A right circular cone of altitude 16 inches is cut by a plane parallel to the base and 7 inches from…

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Q: Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

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

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Q: 2. Squares of side a are cut from each corner of a 8 in x 6 in rec sides can be folded to make a box…

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Q: If an open box is made from a metal sheet 33 in. by 33 in. square by cutting out identical squares…

A: Given information: The length of the square is 33 inches that has been transformed to cuboidal box…

Q: 2. Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

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Q: 11. Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The dimensions of the right circular cylinder of the greatest volume that can be inscribed in a…

Q: The maximum area of a parabola that can be inscribed in a right circular cone of radius 8 cm is…

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Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

A: Let the radius of the cylinder is = r and the radius of the sphere = R  Let the height of the…

Q: . A box with a square base and open top must have a volumeof 32,000 cm cu .  . Find the dimensions…

A: To Determine: Find the dimensions of the box that minimize the amount of material used Given: A box…

Q: Find the volume of the largest cone having its circular base circumscribed about a face of a…

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Q: A 60 m long pipe of metal is cut into two pieces. One piece is used to form a square and the other…

A: Perimeter of square =4a 4a=x Perimeter of triangle =3b 3b=60-x b=(60-x)/3

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: Acertain airline requires that rectangular packages carried on a airplane by passengers be such that…

A: Let the lengths on the square sides be x and the other length be y.Then the volume of the…

Q: An inverted square pyramid has a height equal to 8 m and a top edge equal to 3 m. Initially, it…

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