document.write( "Question 1127661: Find the dimensions of the box described.
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document.write( "The length is 4 inches more than the width. The width is 3 inches more than the height. The volume is 480 cubic inches.\r
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Algebra.Com's Answer #744142 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The solution by tutor FrankM is probably right in saying that the solution is found more easily with guess-and check than with formal algebra. \n" ); document.write( "But I would do the guess-and-check work differently than what he shows. \n" ); document.write( "Without expanding the expression, the equation for the volume of the box is \n" ); document.write( "x(x+3)(x+7)=480 \n" ); document.write( "Since the product is 480, one of the factors must be 5, or perhaps a multiple of 5. \n" ); document.write( "So try x = 5, and it works. \n" ); document.write( "So the dimensions are 5, 8, and 12. \n" ); document.write( " |