Can you cut the cube with cutout corner
You can use the Boolean Modifier
position the second cube where you want to cut out the main cube
Select the cube you want to cut out
Go to the Modifier tab in the Properties window and choose the Boolean Modifier
Set the Operation to Difference
Click Apply (Object Mode)
Note: After applying the Boolean Modifier the mesh could be not suitable for a good topology.
Yes you can.
This can be done by using the Boolean modifier. Simply create two cubes ,we will call them A and B, A being the object you want to cut and B being the region you want to cut. To better match the question we shall subdivide Cube A.
Then add the Boolean modifier to Cube A. This can be found in the modifiers tab.
Next, in the Boolean modifier settings, set Operation to Difference and Object to the object which defines the region you wish to cut out .In our case this is Cube B.
Then all you have to do is hit Apply delete Cube B and you are done!