document.write( "Question 953970: The dimensions of a rectangular box are proportional to 3, 4, and 5.
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document.write( "Find these dimensions knowing that the volume of the box is 480 cm^3.
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document.write( "Explain. \n" );
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Algebra.Com's Answer #582626 by JoelSchwartz(130) ![]() You can put this solution on YOUR website! if h=3 and w=4 and L=5 \n" ); document.write( "then \n" ); document.write( "w=4h/3 \n" ); document.write( "L=5w/4 \n" ); document.write( "The volume formula is Lwh=v \n" ); document.write( "wLh=480 \n" ); document.write( "h*4h/3*5(4h/3)/4=480 \n" ); document.write( "4h^2/3*(20h/3)/4=480 \n" ); document.write( "4h^2/3*(5h/3/4)=480 \n" ); document.write( "16h^2/3*5h/3=1920 \n" ); document.write( "80h^3/9=1920 \n" ); document.write( "h^3=216 \n" ); document.write( "h=6 \n" ); document.write( "w=4*6/3 \n" ); document.write( "w=24/3 \n" ); document.write( "w=8 \n" ); document.write( "L=40/4 \n" ); document.write( "L=10 \n" ); document.write( " |