The length l, width w, and height h of a box change with time. At a certain instant the dimensions are l = 5 m and w = h = 2 m, and l and w are increasing at arate of 3 m/s while h is decreasing at a rate of 4 m/s. At that instant find the rates at which the following quantities are changing.
Find Volume.
__________ m^3/s
Find Surface Area.
__________m^2/s
Find length of the diagnol.(find answer to two decimal places)
__________m/s
The length l, width w, and height h of a box change with time. At a certain instant the...
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.
Design a rectangular milk carton box of width w, length 1, and height h which holds 1372 cm3 of milk. The sides of the box cost 4 cent/cm2 and the top and bottom cost 16 cent/cm Find the dimensions of the box that minimize the total cost of materials used w= cm cm Design a rectangular milk carton box of width w, length 1, and height h which holds 1372 cm3 of milk. The sides of the box cost 4...
(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.)
(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 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.
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
Fly-by-Night Airlines has a peculiar rule about luggage: The length l and width w of a bag must add up to at most 57 inches, and the width w and height h must also add up to at most 57 inches. What are the dimensions of the bag with the largest volume that Fly-by-Night will accept?
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 with an open top has a square base and four sides of equal height. The volume of the box is 972 ftcubed. The height is 3ft greater than both the length and the width. If the surface area is 513ft squared,what are the dimensions of the box