A component for a computer is being designed.

The front face of the component is bound between the horizontal axis and the curve

where $x$ is measured in $\text{mm}$. The component is a prism and is $3\text{ mm}$ in length.

Using the trapezium rule with $6$ strips, find an estimate for the volume of the component.

Give the approximate volume of the component, correct to $2$ decimal places.