WebAnswer to Solved The dimensions of a closed rectangular box are WebJun 11, 2024 · Here is the question: A closed rectangular box with a volume of 16ft^3 is made from two kinds of materials. The top and bottom are made of material costing 10 cents per square foot and the sides from material costing 5 cents per square foot. Find the dimensions of the box so that the cost of materials is minimized. Follow Add comment …

Solved The dimensions of a closed rectangular box are

WebNov 23, 2024 · (Hint: The surface area of a closed rectangular box with a square base of length x and width x and height h is given by the formula A = 2x2 + 4xh and the volume is given by the formula V = x2h.) Follow • 1 Add comment Report 1 Expert Answer Best Newest Oldest Justin R. answered • 11/23/20 Tutor 5.0 (170) WebFind the rectangle with largest area. This is a fairly straightforward problem from single variable calculus. We write down the two equations: A = x y, P = 100 = 2 x + 2 y, solve … magic kingdom florida opening hours

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WebIf x was really small, like 1/1000 of an inch, you would only be folding the edges of the box up 1/1000 of an inch. So you'd get a very wide, shallow box. The area of the bottom would be very close to 600, but then we multiply that by … WebMar 9, 2013 · Construct the formulas for the surface area and volume of a square-base, open-top box whose base has side length b and whose height is h. Use the constraint that the surface area must equal 400 in 2 to express one of the variables in the surface area formula in terms of the other. Webthe box). Finally, that means that the height is z = 32/xy = 2 cm. Itis straightforward to check, usingthe second derivative test, that this isa local minimum for S. Checking that it is a global minimum is more than we have seen in this course. 19. A closed rectangular box with faces parallel to the coordinate planes has one bottom corner magic kingdom frozen holiday wish