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We state the Central Limit Theorem, as the degree goes to infinity, for thenormalized volume of the zero set of a rectangular Kostlan-Shub-Smale randompolynomial system. This paper is a continuation of {\it Central Limit Theoremfor the number of real roots of Kostlan Shub Smale random polynomial systems}by the same authors in which the square case was considered. Our main tools arethe Kac-Rice formula for the second moment of the volume of the zero set and anexpansion of this random variable into the It\^o-Wiener Chaos.

Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems