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Optimization

AP Calculus AB· difficulty 3/5

L=12 W=8 x

A box is made from a 12×812 \times 8 sheet by cutting squares of side xx from corners and folding. The volume is:

  • A

    12⋅8⋅x12 \cdot 8 \cdot x

  • B

    x(12−2x)(8−2x)x(12-2x)(8-2x)

    check_circle
  • C

    (12−x)(8−x)x(12-x)(8-x)x

  • D

    x3x^3

Explanation

After folding, length =12−2x=12-2x, width =8−2x=8-2x, height =x=x.

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