document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201743>Question 1201743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "a container has a rectangular base with a length twice its breadth. Its height is 30cm. It is 1/3 full. 3000cm^2 of water is then added and the new height is 25cm.\r<BR>\n" );
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document.write( "1) How much more water is needed to fill the tank to its brim\r<BR>\n" );
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document.write( "2) what is the length of the container.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836245 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I think we can call the \"3000 cm^2\" in the problem a typographical error instead of a fatal flaw.  Obviously the intent was 3000 cm^3....<br><BR>\n" );
document.write( "The height is 30cm, and initially the tank is 1/3 full, so it is filled to a depth of 10cm.<br><BR>\n" );
document.write( "When 3000 cm^3 of water is added, the depth of water in the tank becomes 25cm, a change of 15cm.  Since the change in the depth of the water is half the height of the tank, the 3000 cm^3 that was added is half the volume of the tank.  So the volume of the tank is 6000 cm^3.<br><BR>\n" );
document.write( "1) How much more water is needed to fill the tank to its brim?<br><BR>\n" );
document.write( "The water is now 5cm from the top of the tank.  Since adding 3000 cm^3 raised the depth of the water by 15cm, the additional amount of water needed to raise the depth of the water another 5cm is one-third of 3000 cm^3, or 1000 cm^3.<br><BR>\n" );
document.write( "ANSWER: 1000 cm^3<br><BR>\n" );
document.write( "2) what is the length of the container?<br><BR>\n" );
document.write( "The volume of the tank is 6000 cm^3, and the height is 30cm; that means the area of the rectangular base is 200 cm^2.  Then, since the length is twice the width, the length of the base is 20cm and the width is 10cm.<br><BR>\n" );
document.write( "ANSWER: 20cm<br><BR>\n" );
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