document.write( "Question 273502:  A cube with edge 10ft is submerged in a rectangular tank containing water.  If the tank is 40 ff by 50 ft, how much does the level of water in the tank rise?  \r
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document.write( "This is the problem, we have figured the volume of the cube to be 1000 cubic feet - but that is as far as we have gotten. \r
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document.write( "Any help would be great - Thanks.  \n" );
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| Algebra.Com's Answer #199777 by josmiceli(19441)     You can put this solution on YOUR website! there are 2 key points in this problem: \n" ); document.write( "(1) \n" ); document.write( "The cube is \"submerged\" in the tank. That means the cube is made of \n" ); document.write( "granite and not styrofoam. \n" ); document.write( "(2) \n" ); document.write( "The tank has enough water in it to cover the cube, and therefore \n" ); document.write( "submerge it. The height of the water must be higher than 10 ft \n" ); document.write( "when the cube is submerged \n" ); document.write( "---------------------------- \n" ); document.write( "I can assume the height of the water in the tank is initially \n" ); document.write( "Then the volume of water in the tank is 10 x 40 x 50 = \n" ); document.write( "With the cube in the water, the volume of water + cube in the tank \n" ); document.write( "is \n" ); document.write( "The new height of the water in the tank will be \n" ); document.write( " \n" ); document.write( "The water in the tank rises .5 ft \n" ); document.write( "(and it does cover the cube, too. If it didn't, the answer would be wrong) \n" ); document.write( " |