Where is the fuse box on a 2003 Toyota Corolla?

It is a very basic, entry level Toyota Corolla and only sold in South Africa. You didn't tell us the year, but they are all here. Fuses 3,16, 18, and 25.

Fuse Box Diagram Toyota Corolla (E140/E150; 2007-2013)

https://fuse-box.info > toyota > toyota-corolla-e140-e15...

Fuse box diagram (location and assignment of electrical fuses and relays) for Toyota Corolla / Auris (E140/E150; 2007, 2008, 2009, 2010, 2011, 2012, 2013).

Corolla » Fuse Diagram

https://knigaproavto.ru > Fuse Box Diagram > Toyota

Fuse Box Layout Toyota Corolla CE, LE & S 1.8 L - 1ZZ-FE or 2ZZ-GE (2003, 2004, 2005, 2006, 2007, 2008)

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Question edited for clarity.
Question moved from MISC to make model category.

You mean the lights in it? Fuse 18.

https://fuse-box.info/toyota/toyota-corolla-e120-e130-2003-2008-fuses

Or the actual speed information? No fuse, the data comes from a speed sensor and it processed by the ECM and BCM. Videos in the link.

https://www.google.com/search?q=2004+toyota+corolla+fuse+speedometer+not+working

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Surprise they are not all there! These links will help:

Toyota Tacoma Electrical Fuses Replacement Guide 2005 To 2015 Model Years...
Interior Fuse Box Location 2003 2008 Toyota Corolla 2007 Toyota Corolla CE...
Toyota Camry Fuse Box Location and Diagram
How to replace fuses and fix headlight fuse error Toyota Corolla Years...

Open the car hood. There is a black box with a snap-on cover to the right of your battery. Once you remove the top cover, look inside the top and it wiil show you which relay is your A/C relay. I believe it is a white colored relay located back right in the relay block or holder.

https://www.ifixit.com/Guide/2003-2008+Toyota+Corolla+finding+the+fuse+box/8374

On my right hand drive 2007 Toyota Corolla 1.6 wagon (NZ) the interior fuse box for the radio/cig lighter/mirrors etc was in behind the glovebox. I had to pull open the glovebox (squeeze in the sides to get it past the stops) and carefully unclip it from its bottom plastic hinges (take care to unclip the opening damper on the left hand side as well). Looking up I found the cover to the fuse box. I removed the cover and using the little white plastic tool from the fuse box under bonnet (and the spare 15A fuse from the same place) I replaced the blown 15A CIG fuse and it all came back to life!

fuse box is under the dash on the drivers side, above left knee. Lay on you back and look up under dash.

LUCK FOR THE ONE OF THE FOLLOWING WORDS LIGHTS, INTEROR, DISPLAY, DASH USALLY DASHLIGHTS AND REAR LIGHTS ARE ON THE ONE CIRCUT (FUSE)

it is located in the engine compartment fuse / junction box it is on the drivers side then cover to the box will show you witch one it is ( the relay will be white in color)

there is one box under the hood and also one above the kick plate (pedal area)