document.write( "Question 401306: When 10 cubic feet of water is poured into an empty fish tank (a rectangular prism), the tank becomes ¾ full. If the tank is 2 feet 8 inches wide and 40 inches long, how tall is the tank? Write the answer in terms of feet and inches, rounding to the nearest tenth of an inch.\r
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Algebra.Com's Answer #283990 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! When 10 cubic feet of water is poured into an empty fish tank (a rectangular prism), the tank becomes ¾ full. \n" ); document.write( "If the tank is 2 feet 8 inches wide and 40 inches long, how tall is the tank? \n" ); document.write( ": \n" ); document.write( "Let's do this inches; \n" ); document.write( " 2' 8\" = 32 inches \n" ); document.write( "10 cu ft = 17280 cu inches \n" ); document.write( ": \n" ); document.write( "let h = the height of the tank (in inches) \n" ); document.write( "then \n" ); document.write( ".75h = height of the water \n" ); document.write( ": \n" ); document.write( "Volume of the water \n" ); document.write( ".75h * 40 * 32 = 17280 \n" ); document.write( "960h = 17280 \n" ); document.write( "h = \n" ); document.write( "h = 18 inches is the height of the tank \n" ); document.write( "that's 1 ft 6 inches \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this, find the vol of water using .75(18) = 13.5' \n" ); document.write( "13.5 * 40 * 32 = 17280 cu inches \n" ); document.write( " |