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

- 120 cm³
- 64 cm³
- 48 cm³
- 24 cm³

**Answer: (3) 48 cm ^{3}**

**Explanation:-**

**Given:-**

The ratio of the ages of cuboid = 1: 2: 3

Let the ages of the cuboid are X, 2 X and 3 X

Then,

2(X x 2X + 3 X x 2 X + 3 X x X) = 88

2(2X^{2} + 6X^{2} + 3 X^{2}) = 88

2 x 11 X^{2} = 88

X^{2} = 88/22

X^{2} = 4

Square root on both side,

X = 2

Then, the ages of cuboid are X = 2, 2 X = 2 x 2 = 4 & 3 X = 2 x 3 = 6 cm

So, the volume of the cuboid = 2 x 4 x 6

= 48 cm^{3}

Hence, the correct answer is option (3) 48 cm^{3. }