Question 199760
{{{V(x)=length*width*height}}}
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The original box was a cube, so in that case length=width=height. So the volume of the cubic box is:
{{{V(x)=x*x*x=x^3}}}
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For the rectangular box, one dimension is 3 inches shorter (say length) and another dimension is 5 inches longer (say width). Nothing is said about the height being different. So for the rectangular box, the area is expressed as:
{{{V(x)=(x-3)*(x+5)*x}}}
Simplifying...
{{{V(x)=(x^2+2x-15)*x}}}
{{{highlight(V(x)=x^3+2x^2-15x)}}}
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