Design an equation for the volume of a box made from a cardboard sheet of length q and width p and square cutouts of side length x.

Respuesta :

Consider the figure.

From the cardboard sheet of length q and width p, we remove from the corners squares of side length x, then fold the cardboard to form a box.

the height of the box is x, the length is q-2x, since 2 x'es are subtracted from the length of the cardboard, similarly the width of the box is p-2x.

The volume of the box is height*length*width:

so the equation is

V=x(q-2x)(p-2x) 
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