Is it possible to "invert" an SVG file? Not the colours, but the actual areas/paths?

I have an SVG file, and I want to create the opposite of it. It's a monochrome icon, and I want a version where the logo is transparent and the rest of the rectangle is filled paths.

In theory it feels like it should be a common problem, and something like Inkscape should have an "Invert Paths" (or similar) function, but in practice I couldn't find any relevant help in Inkscape or Google?

Thanks!