Depends what you mean:
The Les Paul Bass often referred to as LP Recording or LP Professional bass has a larger and thicker body than the Triumph.
The body of the Les Paul Recording guitar is the same shape as the Triumph bass.
I meant the Les Paul Recording guitar that matches the Triumph bass.
The first Les Paul Bass, (like you have!) has the same body as the LP Personal & the LP Professional, the largest & heaviest Les Pauls...
The Les Paul Triumph Bass and the Les Paul Recording Guitar, have a smaller body than the first models, but a larger body than standard Les Pauls.