A closed rectangular box has volume 30 cm³. What are the lengths of the edges giving the minimum surface area? lengths = %3D (Give the three lengths as a comma separated list.)

Q: The minimum surface area for a given volume of a square-based rectangular prism occurs when the…

A: Let us assume the length of a edge of the base=xAnd height =y And volume=VSo, V=x2yor, y=Vx2

Q: A closed rectangular box has volume 60 cm³. What are the lengths of the edges giving the minimum…

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Q: 2. Find how fast the volume, surface area and diagonal of a cube as the length of the edge

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Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?. Lagrange multipliers

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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: 6. Find the minimum surface area of a box that holds 2 cubic meters.

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Q: Determine the dimensions of a rectangular box with a volume of 1 ft ^ 3 that has a minimum surface…

A: Given a rectangular box with volume 1 ft^3

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Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: If the dairy uses a rectangle container opti dimensions and the surface area be?

A: Given a dairy sells ice cream in 11.4 L cardboard container.

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Q: Find the minimum cost of a rectangular box of volume 150 cm³ whose top and bottom cost 5 cents per…

A: Let the length, width and height of the rectangular box be x,y,z, respectively. So, volume,…

Q: Find the volume of a square pyramid with a height of 9 m and base edges of 4 m. v=O m3 (Round to the…

A: Height =9m, Base edges=4m

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: A cardboard box without a lid is to have a volume of 4000cm3. Find the minimum amount of cardboard…

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Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

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Q: An open rectangular box has volume 44 cm. What are the lengths of the edges giving the minimum…

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Q: West Coast Customs is constructing a closed-top, square-based, rect- angular subwoofer box that will…

A: Here we use application of derivatives to find the minimum surface area and find it's dimensions.

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Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

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: the volume of a rectangular box is 46cm^3, find the side lengths that minimize surface area

A: Please see the explanation below..

Q: An open rectangular box has volume 20 cm³. What are the lengths of the edges giving the minimum…

A: To find the length of the edges so, that surface area is minimum.

Q: Find the height and radius of a cylinder with volume 250pi in^3 and with the smallest total surface…

A: The volume of the cylinder with radius r and height h is V = 250π in3  ⇒ πr2h = 250π…

Q: A box, used to package men's shirts, is in the shape of a square-based prism and its to have a…

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

Q: 13. Find the dimensions of the closed cylinder volume V=16n that has the least amount of surface…

A: Let the radius of the cylinder be: r Let the height of the cylinder be: h Therefore the volume of…

Q: A Normal window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the…

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

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Q: An aquarium with rectangular sides and bottom (and no top) is to hold 5 gal. Find its proportions so…

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

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

A: Minimization problem

Q: A carpenter is building a rectangular room with a fixed perimeter of 392 ft. What dimensions would…

A: Let l & b be the length and breadth of the room

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

Q: 1.) An open box is to be made with a volume of 36,000 cm3. Find the least material or surface area…

A: Given : An open box with volume 36000 cm2 Also, length=2×width Let,Length=lWidth=wheight=h…

Q: A thin-walled cone-shaped cup (see figure) is to hold 36t cm of water when full. What dimensions…

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Q: The edge of a regular dodecahedron is 6 m, what is its total surface area?

A: Given:  The edge of a regular dodecahedron is 6 m. To Find: Total surface area of the given regular…

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: What are the dimensions of a closed recrangular box that has a square cross section a capacity of…

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

Q: The volume of a closed cylinder tank is 11.3 m3 . If the total surface area is a minimum ,what is…

A: Introduction :

Q: Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 6 cents per…

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Q: Consider the following cube with a side length equal to 5 cm. Find the total surface area. S em…

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Q: Find the edge of a cube if its total area is numerically equal to three times its volume.

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

A: We have considered each side of the square base is x cm and the height of the box is h cm.

Q: how much liquid does this shape hold if each edge is 1 cm long

A: This shape has been drawn as per my visual ability and skills it can be different for the different…