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.
\n" ); document.write( "a. What is the volume of the box she has now?
\n" ); document.write( "b. What are the dimensions of the new box?
\n" ); document.write( "c. What is the volume of the new box?
\n" ); document.write( "Please explain. Thank you.
\n" ); document.write( "

Algebra.Com's Answer #130868 by ankor@dixie-net.com(22740)\"\" \"About 
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 = \"728%2F180\"
\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( "
\n" );