The length of a cuboid is doubled, breadth is halved and height is tripled, the volume of the cuboid will become :

1. 1.5 times

2. 2 times

3. three times

4. six times

Let l, b and h be the length, breadth and height of the cuboid.

So, new length, breadth and height are 2l, $\dfrac{1}{2}\text{b}$ and 3h.

As we know that volume of cuboid = length x breadth x height

= l x b x h

= lbh

Volume of new cuboid = $2\text{l} \times \dfrac{1}{2}\text{b} \times 3\text{h}$

= $\cancel{2}\text{l} \times \dfrac{1}{\cancel{2}}\text{b} \times 3\text{h}$

= $3 \text{lbh}$

Hence, option 3 is the correct option.