Volume function of a box

label Algebra
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A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 10 inches by 26 inches by cutting out equal square of side x at each corner and then folding up the sides. Express the volume V of the box as a function of x.

May 29th, 2015

The large side after cutting 2x (from both ends) is 26-2x

The small side after cutting 2x is 10-2x:

The volume: (26-2x)*(10-2x)*x=V or V= 4x*(13-x)*(5-x)

May 29th, 2015

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May 29th, 2015
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May 29th, 2015
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