You have gone to a wedding celebration and have received aperfectly square slice of cake. Because of the layered constructionof the cake the top half of the slice has half the density of thebottom half. Taking any arbitrary ‘bottom’ corner of the cake sliceto be (0,0,0) and the opposing corner to be (1,1,1), express thecoordinates of the cake slice’s ‘center of mass’ (the averageposition of all mass in the cake slice). You do not know the cakeslice’s real mass or size.
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