The volume of a rectangular prism can be calculated as the product of its three dimensions:
[tex]V=L\cdot W\cdot H[/tex]Since the length is 3.8 meters, the width is 1.5 meters and the volume is 16.53 m³, we can solve the volume equation for the height:
[tex]\begin{gathered} 16.53=3.8\cdot1.5\cdot H \\ 5.7\cdot H=16.53 \\ H=\frac{16.53}{5.7} \\ H=2.9\text{ meters} \end{gathered}[/tex]The height is equal to 2.9 meters, therefore the correct option is A.