It's not currently possible to view how much server space or disk storage you have used in Atlassian Cloud. OR how much storage different spaces are using in your Confluence Cloud instance.
If disk space on your Atlassian Cloud instance reaches a concerning level and is causing problems then Atlassian Support will reach out to your Technical and Billing contacts to discuss methods for clearing up data.
More details are available here: https://confluence.atlassian.com/cloudkb/how-to-see-how-much-server-space-is-being-used-691011836.html
@GlennR You might not actually have hit the limit. Atlassian sent emails that incorrectly stated that users had reached the limit, when in fact they hadn't. They sent emails within the next day or two admitting their mistake. I received the initial notice and the subsequent correction.
And there actually is a way to see your overall usage in Cloud, although I don't think there's a way to break it down by space. This thread has the information and was very helpful to me: https://community.atlassian.com/t5/Confluence-Cloud-questions/How-can-I-analyze-data-usage-to-cull-content/qaq-p/1196998
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