Blocks covering objects in ACAD 2006LT?

Is there a way to have a block cover existing objects on a drawing? For
example: I'm an electrical contractor and many times I want to place an
exhaust fan block over a toilet - which is usually a block also. I would
like to have the portion of the toilet block be invisible where it is
covered by the exhaust fan block so as to make things appear less confusing.
Do I do that by using a white solid hatch when I create my fan block, but I
feel there must be a better way. TIA

 

You might have to use draworder on the block(s) to ensure the intended block
stays aloft.