Glycerol forms the backbone of triglycerides, which consist of one glycerol molecule attached to three fatty acid chains. The distinction between saturated and unsaturated fats lies in their hydrogen content and structural configuration; saturated fats, with their straight chains, can pack tightly and store more energy, while unsaturated fats have kinks that prevent dense packing, resulting in a liquid state at room temperature. This fundamental difference highlights why animal fats are typically solid and plant fats are often liquid.