Hi, MCDINBRIS!
Thanks for reaching Microsoft Community and posting your concern regarding your Surface Studio. If a Windows application or service uses lots of CPU resources for an extended period, the processor will get warm. That is expected and normal, regardless of what brand of computer you're using. Kindly check if there is high CPU utilization. The faster the processor, the warmer it can become. It's possible that the device is running some updates when this happened.
The device may become very warm during normal use. The device complies with the user accessible surface temperature limits defined by the International Standard for Safety of Information Technology Equipment (IEC 60950-1).
To reduce heat-related concerns, follow these guidelines:
· Set up your device on a stable work surface that allows for adequate air circulation under and around it.
· Use caution when operating your device on a pillow, blanket, or other soft material, because the material can block the airflow, and this may cause device overheating.
· If your device is on your lap and it gets uncomfortably warm, remove it from your lap and place it on a stable work surface.
This is from the Safety Information page.
For emergency cases like when it is too hot to touch, please Contact Microsoft Support immediately.
We hope this helps you out, we highly encourage you to inform our Community by clicking on Yes or marking my post as an answer. This will help other members who may have the same issue as you. Otherwise, don't hesitate to update us so we can further assist you.
Kind regards,
Janette_Z