25. An open box whose base is a rectangle twice as long as it is wide is to have a surface area of 294 square inches. Find the dimensions of a box of maximum volume. F.

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Q: 3. Find the dimensions of a open topped box that maximizes the volume with the constraint that the…

A: We need to find dimension of an open box that maximizes the volume.

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A: Topic- Application of Derivative

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A: The solution is given below in the next step:

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A: Cost can be minimised by finding out the partial derivatives

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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

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Q: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

A: I am attaching image so that you understand each and every step.

Q: 4. Find the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet…

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A: As per bartleby guidelines we're adviced to answer first question at a time, kindly repost the other…

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A: Lets assume  length of base = x in width = x in ( as it is square base ) height of box = y

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Q: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

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Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

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Q: A box with an open top and square base is to be created with a surface area of 300 square inches.…

A: The box is open  And base is square  Let square sides l = b = x in And height  =h in

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Q: $24 is available to make a rectangular storage container with a square base and open top. If the…

A: We use second derivative test to find out dimensions of container where volume is largest

Q: Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds…

A: Consider the dimension of rectangular box be x, 3x, and h. Then, volume is given by V=x×3x×h  =3x2h…

Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins. What should…

A: Use application of derivative concept. volume of cylinder and total surface area of cylinder…

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Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: To find the dimensions

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 .

Q: A company wants to come up with a package box that has a square base a volume of 125 cubic ft. What…

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