document.write( "Question 999628: The volume of a pyramid is given by the formula V = Bh / 3
\n" );
document.write( " where B is the area of its base and h is its height. The volume of the following pyramid is 252 cubic centimeters. Find the dimensions of its rectangular base if one edge of the base is 2 centimeters longer than the other and the height of the pyramid is 12 centimeters. (Enter your answers as a comma-separated list.) \n" );
document.write( "
Algebra.Com's Answer #617230 by addingup(3677)![]() ![]() You can put this solution on YOUR website! V= Bh/3 but we want to find the area of the Base. Let's isolate the Base, multiply both sides by 3: \n" ); document.write( "---------------------------------- \n" ); document.write( "V*3= Bh Now divide both sides by h: \n" ); document.write( "(V*3)/h= B \n" ); document.write( "------------------------------------ \n" ); document.write( "OK, now let's plug in the numbers provided in the problem: \n" ); document.write( "(252*3)/12= B \n" ); document.write( "756/12= B \n" ); document.write( "B= 63 Now factor 63: It's divisible by 1, 7, 9. 7*9= 63 and 9= 7+2 so the base of your pyramid is 7*9. \n" ); document.write( " \n" ); document.write( " |