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Constructing a box. From a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by cutting out identical squares of area x^2 from each corner and turning up the sides.

AShow that the volume of the box is given by the function V(x)=x(20-2x)(30-2x).

BFind all positive values of x such that V(x)>0. ...?

Verified Answer :

syed514

height=x
length=20-2(what u cut out)=20-2x
width=30-2(what u cut out)=30-2x
so v(x)=lwh=x(20-2x)(30-2x)

B(0,10)