# The ratio of the edges of rectangular parallelepiped is 1 : 2 : 3 a

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

A. 696

B. 792

C. 824

D. 548

### Right Answer is: B

#### SOLUTION

Volume of parallelepiped = l × b × h

Where l: length, b: breadth, h: height

l:b:h = 1∶ 2∶ 3

volume

X = 36

Hence l = 36/6 = 6cm; b=36/3 =12cm; h=36/2 = 18cm

Surface area of parallelepiped = 2(lb + bh + hl)

= 2(6 × 12 + 12 × 18 + 18 × 6) = 2(72 + 216 + 108) = 2(396) = 792 cm^{2}

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The ratio of the edges of rectangular parallelepiped is 1 : 2 : 3 a