The Base 11 Space Challenge is a $1 million+ prize for a student-led university team to design, build, and launch a liquid-propelled, single-stage rocket to an altitude of 100 kilometers (the Karman Line) by December 30, 2021. To realize, TU Wien Space Team will participate in a joint team together with the University of Toronto Aerospace Team. The proposed rocket will be a multiple composite structure, comprising a lightweight pressure fuel tank, a nosecone and a thrust-chamber. The fuel tank will be a carbon-fibre composite with a thin aluminium liner, whereas the nosecone will be created by glass-fibre reinforced polymer. The thrust-chamber is a MMC made of carbon-fibres embedded in a metallic matrix and perhaps ceramics top layers. Details about the project and the preparation of the different composite devices will be presented.