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a box has a width of 3 feet. the height is unknown, but you know the...
Find the dimensions of the box described. The length is 5 inches more than the width. The width is 2 inches more than the height. The volume is 264 cubic inches. length ________in width _________in height ________in
A box currently has length and width of 10 inches and a height of 3 inches. Use calculus to determine at what rate the height changes, if the length and width are decreasing at a rate of 2 inches per minute and the volume of the box is constant. (6 points)
3. The length of a box is 5 m longer than the width, and the height is 3 m shorter than the width. The volume of the prism is 100 ml. Determine the possible dimension(s) of the box. A complete algebraic solution and analysis is required for full credit.
An observer measures the length (L), width (w), and height (h) of a box while stationary relative to the box. The observer then travels at near light speeds parallel to the length (L) of the box. If the observer measures the length (L) of the box while moving, the measured value is equal to L. less than L. greater than L. More information is needed. You need to know the density of the box.
A box measures 4.35 ft in length, 0.03899 yd in width, and 8.12 inches in height. Determine its volume in cubic centimeters.
(1) A box has a height of 6 inches, a width of 4 inches, and a length of 10 inches (and therefore a volume of 240 cubic inches). The height is decreasing at a rate of 0.5 inches per minute, the width is increasing at a rate of 2 inches per minute, and the length is increasing at a rate of 1 inch per minute. At what rate is the volume changing? Car A travels East towards the intersection of...
A closed box has a square base with side length / feet and heighth feet. Given that the volume of the box is 34 cubic feet, express the surface area of the box in terms of I only S(I) = 2136 S-21361 (1) - 22. 136 (0 - 6 none of the above
(1 point) You must design a closed rectangular box of width w, length 1 and height h, whose volume is 530 cm . The sides of the box cost 3 cents/cm2 and the top and bottom cost 5 cents/cm². Find the dimensions of the box that minimize the total cost of the materials used. dimensions = (Enter your answer as a comma separated list of lengths, which will be interpreted as being in centimeters.)
A box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume = 27 cubic feet which would minimize the cost of construction. h 1 W The values for the dimension of...