ANSWER
The volume is 197.15 cm³
Step-by-step explanation
We have to find the volume of the cube and then substract the volume of the cylinder inside.
The volume of the cube is the product of its sides:
![V_{\text{cube}}=6\operatorname{cm}*6\operatorname{cm}*6\operatorname{cm}=216\operatorname{cm}^3]()
The volume of a cylinder is the area of its base multiplied by its height. This cylinder's diameter is 2cm, therefore its radius is 1cm. The area of its base is:
![A_{\text{base}}=\pi\cdot r^2=\pi\cdot(1\operatorname{cm})^2=\pi\cdot1\operatorname{cm}=3.14\operatorname{cm}^2]()
The height of the cylinder is the width of the cube: 6cm. The volume of the cylinder is:
![V_{\text{cylinder}}=A_{\text{base}}\cdot h=3.14\operatorname{cm}^2*6\operatorname{cm}=18.85\operatorname{cm}^3]()
Finally, the volume of the composite figure is:
![V_{\text{figure}}=V_{\text{cube}}-V_{\text{cylinder}}=216\operatorname{cm}^3-18.85\operatorname{cm}^3=197.15\operatorname{cm}^3]()