document.write( "Question 873235: A cube and a square pyramid have the same base and height. If the volume of the pyramid is 9 cubic inches, what is the length of one side of the cube? \n" ); document.write( "
Algebra.Com's Answer #526729 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
let B be the base and h be the height and Vp is volume of pyramid, we know the formula for the volume of the square pyramid is
\n" ); document.write( "Vp = B * h/3
\n" ); document.write( "Vp = B * h/3 = Bh/3
\n" ); document.write( "let Vc be the volume of the cube
\n" ); document.write( "Vc = B*h
\n" ); document.write( "Therefore the volume of the right pyramid is 1/3 the volume of the cube
\n" ); document.write( "Vc = 9 * 3 = 27
\n" ); document.write( "length of a side for the cube is 3 inches
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );