The edges of a cuboid are in the ratio 1: 2: 3 and its surface area is 88 cm2. The volume of the cuboid is

Let a be the length of the smallest edge

Therefore,


The edges are in proportion a: 2a: 3a


We know that,


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


= 2 (a × 2a + a × 3a + 2a × 3a)


= 2 (2a2 + 3a2 + 6a2)


= 22a2


= 88 cm2


a =


= = 2


Also,


2a = 2 × 2 = 4


And,


3a = 3 × 2 = 6


Therefore,


Volume = a × 2a × 3a


= 2 × 4 × 6


= 48 cm3


Hence, option A is correct

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