document.write( "Question 448094: What is the approximate volume of a can in cubic inches, if the volume of the can is 350 cubic centimeters? \n" ); document.write( "
Algebra.Com's Answer #308420 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Use the idea that 1 inch = 2.54 centimeters (approximately). \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So if 1 inch is 2.54 centimeters, then cubing both sides of the equation would give you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 cubic inch = 16.387064 cubic centimeters\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So 1 cubic inch is equivalent to roughly 16.387064 cubic centimeters\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now that we know that 1 cubic inch = 16.387064 cubic centimeters, divide both sides by 16.387064 to get\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(1 cubic inch)/(16.387064) = (16.387064 cubic centimeters)/(16.387064)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.0610237 cubic inches = 1 cubic centimeter .... Note: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So this reverses things and tells us that 1 cubic centimeter is equal to about 0.0610237 cubic inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So 1 cubic centimeter = 0.0610237 cubic inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 cubic centimeter = 0.0610237 cubic inches ... Start with the given equation\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "350*1 cubic centimeter = 350*0.0610237 cubic inches ... Multiply both sides by 350 (we want the left side to be 350 cubic centimeters)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "350 cubic centimeter = 21.358295 cubic inches ... Multiply (note: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are approximately 21.358295 cubic inches in 350 cubic centimeters.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the volume of the can is approximately 21.358295 cubic inches \n" ); document.write( " |