Are the below sentences phrased correctly? Please help.

  1. The size of lids for this type of cups are universal.
  2. The lids for this type of cups are universal in size.
  3. The size of the lids have been universalized.
  4. The size of the lids are standard, so it would fit all the cups.
  5. The size of the lids are universal, so they would fit any type of cups.
  6. The quantity of the lids and cups have to match, so that each cup will have a lid.

Are the above sentences correct? Please advise.

1/2/3 These cups have lids that are universal in size.
4/5 The lids are a standard size and will fit all the cups.
6 So that each cup has a lid, we have to have the same number of each.