document.write( "Question 174229: When a chunk of metal is dropped into a container of water, the water level rises 1.8cm. The container is shaped like a prism, with a base that measures 3cm on each side. What is the density of the metal if its mass is 45 grams? The answer is in grams/cm to the third. \n" ); document.write( "

Algebra.Com's Answer #129169 by Mathtut(3670) $\"\"$ $\"About$

You can put this solution on YOUR website!
density equals mass divided by volume
\n" ); document.write( ":
\n" ); document.write( "D=m/V
\n" ); document.write( ":
\n" ); document.write( "The volume of the displaced fluid is the same as the volume of the object, so can figure the volume of the object.
\n" ); document.write( ":
\n" ); document.write( "we are given the mass at 45 grams
\n" ); document.write( ":
\n" ); document.write( "the volume would be the same as the displaced water which is
\n" ); document.write( ":
\n" ); document.write( "Volume of metal and displacement: $\"3%283%29%281.8%29=16.2%28cm%29%5E3\"$
\n" ); document.write( ":
\n" ); document.write( "so $\"D=45%2F16.2=2.78%28g%2Fcm%5E3%29\"$ \n" ); document.write( "

\n" );