The objective of the present paper is to investigate the resolution of the Weyl module over a field of characteristic zero for the particular case of the Skew-Partition (10, 4,3)/(1,0). The construction is carried out through repeated application of the mapping cone technique, a device borrowed from homological algebra. The principal feature of this approach is that it permits the characteristic-zero resolution, together with its terms and its exactness, to be obtained in a direct manner and in complete independence from the characteristic-free resolution of the Weyl module associated with the same partition. In this way, the desired results are established without any reliance whatsoever on the characteristic-free case for the Skew- Partition (10, 4,3)/(1,0).