document.write( "Question 175755: Carol has a box with a length, width and height of 12 inches. She needs a box that is 3 inches longer, not as high, yet still has almost exactly the same volume.
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document.write( "a. What is the volume of the box she has now?
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document.write( "b. What are the dimensions of the new box?
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document.write( "c. What is the volume of the new box?
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document.write( "Please explain. Thank you. \n" );
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Algebra.Com's Answer #130868 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Carol has a box with a length, width and height of 12 inches. She needs a box that is 3 inches longer, not as high, yet still has almost exactly the same volume. \n" ); document.write( ": \n" ); document.write( "a. What is the volume of the box she has now? \n" ); document.write( "12*12*12 = 1728 cu inches \n" ); document.write( ": \n" ); document.write( "b. What are the dimensions of the new box? \n" ); document.write( "Let h = height of the new box \n" ); document.write( "12 * (12+3) * h = 728 \n" ); document.write( "12 * 15 * h = 728 \n" ); document.write( "180h = 728 \n" ); document.write( "h = \n" ); document.write( "h = 4.04 ~ 4 inches high \n" ); document.write( "New box dimensions: 15 by 12 by 4 \n" ); document.write( ": \n" ); document.write( "c. What is the volume of the new box? \n" ); document.write( "15 * 12 * 4 = 720 cu inches \n" ); document.write( " |