In either hard or soft tile you can make a hole large enough for plumbing fixtures with a carbide grit hole saw see photo above available at home centers and tile suppliers.
How to make hole in glass sheet.
Line the plywood with a rubber pad sheets of newsprint or some type of cushioning material.
Using masking tape tape a large x over the marked spot for the drill point.
The hole saw works best at low speeds 100 to 200 rpm.
Depress the trigger of the drill motor to start drilling the hole into the acrylic sheet.
Then insert a diamond drill bit into a drill and position it over the spot you want the hole to be in.
While you are drilling through the plexiglass sheet the friction would produce intense heat and the bits would cause lots of plastic shavings around the hole especially if the sheet is thick.
Measure and mark the spot on the glass where you want to place the hole.
It can be molded into almost any shape from its liquid state but it is most often encountered for project use in 1 16 inch to 3 4 inch thick sheets.
Follow these instructions to cut a circle in a sheet of plexiglass.
Acrylic sheets can be machined with most shop tools.
To drill holes through glass start by attaching a small piece of tape or cardboard to the glass where you want to drill the hole which will prevent the drill bit from slipping.
To get a hole started without wandering use the cardboard trick shown in drilling into glass above.
Step 6 drill through the acrylic sheet and into the 3 8 inch plywood.
For example to drill a 1 2 inch hole you can make a pilot hole by beginning with a 1 4 bit drill and then moving to a 1 2 bit drill.
Unlike drilling a hole through metal or wood plexiglass sheets call for extra caution.
That said below is a list of steps on how to drill a hole in your plexiglass sheet.
Brand names include lucite vitroflex perspex acrylex and many others.
Place a barrier below the plexiglass sheet.
Step 5 spray water on the drill bit with the water bottle to keep the drill bit cool and provide a smooth finish to the drilled hole.