document.write( "Question 22529: The width and height of a rectangular carton are the same. The length is one foot longer than the height. The carton is then placed inside a second carton in the shape of a cube with the same length as the first carton. Write a polynomial expression for the space that remains inside the second carton. \n" ); document.write( "
Algebra.Com's Answer #11633 by venugopalramana(3286)\"\" \"About 
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LET WIDTH = HEIGHT =X FOR THE RECTANGULAR CARTON.
\n" ); document.write( "LENGTH = 1 FT.LONGER = X+1
\n" ); document.write( "VOLUME OF THIS CARTON = X*X*(X+1)=X^3+X^2
\n" ); document.write( "LENGTH OS SECOND CARTON = SAME AS LENGTH OF ABOVE CARTON = X+1=HEIGHT = WIDTH..SINCE IT IS A CUBE.
\n" ); document.write( "VOLUME OF CUBE =(X+1)(X+1)(X+1)=X^3+3X^2+3X+1
\n" ); document.write( "HENCE SPACE LEFT OVER =
\n" ); document.write( "=X^3+3X^2+3X+1-(X^3+X^2)=2X^2+3X+1
\n" ); document.write( "
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