Final answer:
Each half of the cut rock will have a volume of 4 cm³ and maintain the original density of 2.0 g/cm³, as density is an intrinsic property that does not change when dividing a homogeneous material.
Step-by-step explanation:
When a rock sample with a mass of 16 grams and a volume of 8 cubic centimeters is cut in half, the volume of each piece will be half of the original volume, and the density will remain the same. The original volume of the rock is 8 cm³, so each half will have a volume of 4 cm³ (8 cm³ ÷ 2). The density is calculated by dividing the mass by the volume, so the original density of the rock is 2 g/cm³ (16 g ÷ 8 cm³). This density will not change when the rock is cut in half. Therefore, each half of the rock will have a volume of 4 cm³ and a density of 2.0 g/cm³.