# The diaension of a cubiod are in the ratio of 1:2:3 and its total surface area is 88m2 find the dimensions

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

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

2x²+6x²+3x²=44

x²=44/11

x=2 cm

put value of x and u will get the dimensions.

1 : 2 : 3

Let the common multiple be 'x'.

So, the sides will be

x , 2x and 3x

Now, TSA of cuboid =

2(lb + bh + hl)

2(2x² + 6x² + 3x²)

22x²

Now,

88 = 22x²

x² = 4

x = √4 = 2

Therefore the dimensions of the cuboid are -

x = 2 units

2x = 2 × 2 = 4 units

3x = 3 × 2 = 6 units