A box is to be made out of a 6 cm by 16 cm piece of cardboard. Squares of side length x cm will be cut out of each corne

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answerhappygod
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A box is to be made out of a 6 cm by 16 cm piece of cardboard. Squares of side length x cm will be cut out of each corne

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A Box Is To Be Made Out Of A 6 Cm By 16 Cm Piece Of Cardboard Squares Of Side Length X Cm Will Be Cut Out Of Each Corne 1
A Box Is To Be Made Out Of A 6 Cm By 16 Cm Piece Of Cardboard Squares Of Side Length X Cm Will Be Cut Out Of Each Corne 1 (48.94 KiB) Viewed 21 times
A box is to be made out of a 6 cm by 16 cm piece of cardboard. Squares of side length x cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. (a) Express the volume V of the box as a function of x. V= cm3 (b) Give the domain of V in interval notation. (Use the fact that length, width and volume must be positive.) (C) Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W <L). L = cm W = cm H = cm (d) The maximum volume of the box is cm.
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