The ratio of the edges of rectangular parallelopiped is 1 : 2 : 3 and its volume is 1296 cubic cm. The area of the whole surface in sq. cm is :

Explanation

Volume of rectangular parallelopiped = 1296 Ratio of edges = 1 : 2 : 3 \ x, 2x and 3x are length, breadth and height of parallelopiped respectively. x × 2x × 3x = 1296 Þ 6x3 = 1296 Þ x3 = 216 x = 3 216 Þ = 6 Length = 6, Breadth = 12, Height = 18 Required surface area = 2 (lb + bh + hl) = 2 (6 × 12 + 12 × 18 + 18 × 6) = 792 sq.cm