document.write( "Question 77337: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3. \n" ); document.write( "
Algebra.Com's Answer #55453 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! V=s^3\r \n" ); document.write( "\n" ); document.write( "V=1000 cm^3 So:\r \n" ); document.write( "\n" ); document.write( "s^3=1000 cm^3 take the cube root of both sides\r \n" ); document.write( "\n" ); document.write( "s=cube root (1000 cm^3)\r \n" ); document.write( "\n" ); document.write( "How do we find the cube root of 1000? We can use a calculator or we can do it by trial and error. Lets do it by trial and error\r \n" ); document.write( "\n" ); document.write( "What number multiplied by itself three times yields 1000?\r \n" ); document.write( "\n" ); document.write( "Is it 5? 5*5*5=25*5=125 ---------------No. Much too small\r \n" ); document.write( "\n" ); document.write( "Is it 9? 9*9*9=81*9=729----------------No. 9 is still too small\r \n" ); document.write( "\n" ); document.write( "Is it 12? 12*12*12=144*12=1728----------No. 12 is too large\r \n" ); document.write( "\n" ); document.write( "So now we know it is somewhere between 9 and 12\r \n" ); document.write( "\n" ); document.write( "How about 10? 10*10*10=100*10=1000--------------BINGO\r \n" ); document.write( "\n" ); document.write( "Then s=10 cm----------------------------------------------ans\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |