A cuboid container has the capacity to hold 50 small boxes. If all the dimensions of the container are doubled, then it can hold (small boxes of same size)

1. 100 boxes

2. 200 boxes

3. 400 boxes

4. 800 boxes

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

Volume = l × b × h = lbh.

If they are doubled then,

New Volume = 2l × 2b × 2h = 8lbh

Hence, volume becomes 8 times.

So, capacity becomes 8 times.

So, container can hold 50 × 8 = 400 boxes.

Hence, Option 3 is the correct option.