The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm3. The whole surface area of the cuboid is
We know that,
Volume of cuboid = Length × Breadth × Height
576 = 3x × 4x × 6x
576 = 72x3
x = 
= 2
Therefore,
Total surface area of cuboid = 2 (lb + bh + hl)
= 2 (3x × 4x + 4x × 6x + 6x × 3x)
= 2 (48 + 96 + 72)
= 432 cm2
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