Answer:
The new volume would be 14,850cm³.
Explanation:
The volume of a rectangular prism is:

In which l is the length, w is the width and h is the height.
Dimensions tripled.
So

The modified volume will be:

Volume of 550 cm³ before the dimensions are tripled.
This means that

New volume:

The new volume would be 14,850cm³.