document.write( "Question 759345: A rectangular container is 25 cm long and 12 cm wide. If 5.4 litres of water are poured into the empty container then it will be half full. Find the height of the container?
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document.write( "2. 1.8 litres of water are poured into the empty container. 600 identical small marbles are completely immersed in the 1.8 litres of water. The height of the water level rises to 13 cm. Calculate the volume in cm3 of one marble?
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Algebra.Com's Answer #462024 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangular container is 25 cm long and 12 cm wide. \n" ); document.write( " If 5.4 litres of water are poured into the empty container then \n" ); document.write( " it will be half full. \n" ); document.write( " Find the height of the container? \n" ); document.write( "Let h = height of the water \n" ); document.write( "then \n" ); document.write( "2h = height of the container \n" ); document.write( ": \n" ); document.write( "we know that 1 liter = 1000 cu/cm \n" ); document.write( "25 * 12 * h = 5.4 * 1000 \n" ); document.write( "300h = 5400 \n" ); document.write( "h = 5400/300 \n" ); document.write( "h = 18 cm is the height of the water \n" ); document.write( "therefore \n" ); document.write( "2(18) = 36 cm is the height of the container \n" ); document.write( ": \n" ); document.write( "2. 1.8 litres of water are poured into the empty container. \n" ); document.write( " 600 identical small marbles are completely immersed in the 1.8 \n" ); document.write( " litres of water. \n" ); document.write( "The height of the water level rises to 13 cm. \n" ); document.write( " Calculate the volume in cm3 of one marble? \n" ); document.write( ": \n" ); document.write( "1.8 liter = 1800 cu/cm of water \n" ); document.write( ": \n" ); document.write( "Find the height of the water only in the container \n" ); document.write( "25 * 12 * h = 1800 \n" ); document.write( "300h = 1800 \n" ); document.write( "h = 1800/200 \n" ); document.write( "h = 6 cm high is the water without the marbles \n" ); document.write( "The 600 marbles raised it from 6 cm to 13 cm or a 7cm rise \n" ); document.write( "25 * 12 * 7 = 840 cu/cm \n" ); document.write( "therefore \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |