document.write( "Question 961667: Please help me solve this question: A rectangular prism has a volume of 1716 cm^3. its three dimensions are consecutive whole numbers. What is its surface area? \n" ); document.write( "
Algebra.Com's Answer #587591 by amarjeeth123(569)![]() ![]() ![]() You can put this solution on YOUR website! The three dimensions are consecutive whole numbers. \n" ); document.write( "Let the dimensions be (x-1),x and (x+1) respectively. \n" ); document.write( "(x-1)*x*(x+1)=1716 \n" ); document.write( "Finding the factors of 1716 we get, \n" ); document.write( "1716=572*3=143*12=11*12*13 \n" ); document.write( "Substituting the same we get, \n" ); document.write( "(x-1)*x*(x+1)=11*12*13 \n" ); document.write( "Comparing we get, \n" ); document.write( "x=12 \n" ); document.write( "The dimensions of the prism are 11cm,12cm and 13cm. \n" ); document.write( "Surface area of the prism=2(wl+lh+wh)=2(132+156+143)=862 square centimetres \n" ); document.write( " |