Answer:
648 cm Cube
Explanation:
Here total volume comprises of volume of the cube and the volume of cuboid.
Let the volume of Cube be
and Volume of Cuboid is
Hence total volume
![V = V_1 +V_2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z3de5j1iyvhxn67he7k8hulorkcu88b31t.png)
Let evaluate both of them one by one.
![V_1 = side * side * side](https://img.qammunity.org/2020/formulas/mathematics/middle-school/br1glqpjv93l9k1f70v30brs8bgi95p4wi.png)
Where side = 6
Hence
![V_1 = 6 * 6 * 6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z381lcbp9q61i8ud20xgawigz7wms5cs6e.png)
![V_1 = 216](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4mggufsqwruyay638z64iabretx5cm99ql.png)
![V_2 = Length * breadth * height](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pldwn15xz8l051uhs5ba05h8sgv5t9nm81.png)
Length = 12 ; breadth = 6 and height = 6
Hence
![V_2 = 12 * 6 * 6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p3ze6ttl9kncq02cxfvgge5id88vk4dmld.png)
![V_2 = 432](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8yvyct3489wccl02hacamrovheb53umo67.png)
Hence
![V = 216+432](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v2joe1yliflf4zpgty2syziyviro0aord1.png)
![V=648](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ezugx0vx9u6le64o50tevifservz3v81xo.png)
Therefore volume of the solid space is 648 cubic cm