First if you have exact values in your fields you should not be searching with LIKE beginning with %. This prevents your search from using an index and thus is forced to do a table scan. No indexes can be used on your search because every single search begins with %. That is the first thing to fix.
Now to clarify your question, do you mean that for every single column you might be searching for a value and that value might not exist?
What return would satisfy your query if you are looking for width 100, height 100, depth 100:
Width Height Depth
90 100 100
100 90 90
110 100 100
90 90 90
is there a particular one that you would want returned since each column doesn't match the specs searched for? If a particular one should be returned what is the logic behind returning that row and not one of the others?