You have to remove the Logic Upper Assembly to access the speakers.
(Palm Rest Cover is another term.
Sometimes also called Upper Cover, or Top Cover.
Toshiba? Upper Logic Assembly)
In order to remove the Logic Upper Assembly you have to remove the Keyboard Cover, and the Keyboard.
The speakers are each held in with two screws.
1) Remove ALL power. Remove the AC adapter (Charger) and Battery.
2) Suggest lay a soft static free cloth on a table. Prevents scratching the table, and the laptop.
Laptop closed, lay the laptop upside down on it, and Battery Compartment towards you.
3) Keyboard Cover:
With the Battery removed you can see down in the Battery Compartment.
Down in the bottom of the Battery Compartment, and ON the side AWAY from you, are two Philips head screws to remove.
One on the far Left side, one on the far Right side.
These are for the Keyboard Cover.
(IrisVista article does not state, or show these screws. The Toshiba Service manual does )
4) Turn the laptop over. The Keyboard Cover is now gently pried off, to remove.
Step 1's photo in the above link, shows the Keyboard Cover being removed.
Their term? Keyboard Bezel. Toshiba's term? Keyboard Cover
Toshiba's Service Manual, shows a flat tip screwdriver being used to gently lift up, on one side of the Keyboard Cover.
Makes me queasy, instructing someone to use a metallic object on a plastic part.
I recommend a plastic spudger tool instead,http://www.amazon.com/Silverhill-Nylon-Marking-Pick-Spudger/dp/B003BQYK7O/ref=sr_1_3?ie=UTF8&qid=1335122793&sr=8-3
Click on the photo in Step 1 to enlarge.
Looking at the photo observe the 'tang' sticking down off of the Keyboard Cover, near the tool being used. It is to the right of the tool.
There are several more tangs, going down both sides of the Keyboard Cover.
These 'tangs' are what hold the Keyboard Cover on.
Once the right side is lifted a little, hold it up with a finger, then go along the length of the Keyboard Cover, and ease it up, and off.
With the Keyboard Cover removed observe along the top of the Keyboard.
There are 4 Philips head screws to remove.
Click on the photo in Step 2.
The screws to remove are circled in Red.
(No, I do Not recommend lifting up on the Keyboard, to get a better grasp on the screws, once they are loosened.
Leave the Keyboard down, remove the screws.
You Do Not want to accidentally drop a screw down inside the laptop )
The Keyboard is to now be lifted up SLIGHTLY on the screw side, then slid forward towards the LCD screen.
There are plastic tangs on the Keyboard, on the side that faces you.
Lift the Keyboard up to a 90 degree position, and you take the chance of breaking these tabs, or the Upper Logic Assembly.
The Keyboard does NOT remove at this time. There is still a Keyboard Cable attached.
The Keyboard is slid forward enough so that you can access the Keyboard cable, and laid down on the Upper Logic Assembly, as shown in Step 4.
Keyboard Cable and connector on motherboard:
The Keyboard Cable is a FFC. Flat Flex Cable.
It has NO connector attached to it.http://en.wikipedia.org/wiki/File:Flat-Flex-Cable.jpg
The connector on the motherboard is a type of ZIF connector.
Zero Insertion Force.
The connector is two pieces, but DOES NOT come apart!
Click on the photo in Step 5.
The white rectangular part that you see is the Base of the connector, or Body. It stays fixed to the motherboard.
The brown tabs indicated by the small yellow arrows, is the Locking Bar.
ONLY the Locking Bar moves. It ONLY moves about 2mm. That is a little more than 1/16th of an Inch.
IF, the Locking Bar is moved too far, it will break. This usually means motherboard replacement.
Hence why I am being so detailed.
The Locking Bar and Body of the motherboard connector, wedge the Keyboard Cable in place, when the Locking Bar is locked into position.
Also suggest you make a mark on one side of the Keyboard Cable, and the motherboard connector. The cable MUST go back to the original position.
6) Logic Upper Assembly:
Keyboard Cover removed, Keyboard removed, and all screws.
Close the laptop. Turn it over, lay it down on the soft cloth, this time Battery Compartment facing AWAY from you.
Observe screw removal shown in Step 10.
Page numbers are at the bottom, and top of page.
Page1::Page2::Page3::Page4::Find another model)
Now you can see you are removing the other two Philips screws, down in the Battery Compartment.
No. The Base Cover does not come off.
The laptop disassembles from the Top down. When a tech is finished disassembling this laptop, only the Base Cover will be left. Everything is removed OUT of the Base Cover ]
All screws indicated by Red Circles removed, turn the laptop over, and open it back up.
Remove the last screw shown circled in Red, in Step 11 for the Logic Upper Assembly.
(Their term = Top Cover)
The Upper Logic Assembly pops up out of the Base Cover. It has tangs that go around it, that match latches on the Base Cover.
I use a thick guitar pick to start separating the two covers.
Logic Upper Assembly, and Base Cover.
This is a link to a free Service Manual,http://www.tim.id.au/blog/tims-laptop-service-manuals/#toc-toshiba
Go down to the 'paragraph' that starts with Satellite A10. (A10 in blue)
Drop down to the second line, scroll over and click on - A500D -
[ This service manual is in PDF file form. The computer you are using now has Adobe Reader on it, which uses PDF files.
After you click on the file name (A500D) it may take up to 30 seconds, before the first page comes up ]
For additional questions please post in a Comment.
(Posted after Best Solution. Posted with the intent it may help someone in the future, instead of just stating the obvious )