Question

The length of cuboid is twice of its breath and thrice of its height . If the volume of the cuboid is 288. Then find the dimension of the cuboid?

Answer 1

say, the length is =x

So, breadth is = x/2

and height is = x/3

so volume is

$x \times \frac{x}{2} \times \frac{x}{3} = 288 \\ {x}^{3} = 2 \times 3 \times 288 \\ {x}^{3} = 1728 \\ x = 12$

so length is 12

breadth is 6

height is 4