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16 May, 12:46

A square piece of cardboard with each side 30 inches long hasa

square cut out at each corner. the sides are then turned up toform

an open box. Find the side of the cut-out square that willproduce a

box of maximum volume.

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Answers (1)
  1. 16 May, 16:16
    0
    Answer: 5 inches

    Step-by-step explanation:

    V = S * (30-2S) ^2

    V = S (900-120s+4s^2)

    Volume = 4s^3 - 120s^2 + 900s

    Find local maximum from graph at 5 (or take derivative = 0)
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