1. The problem is to find the volume of a rectangular prism with dimensions 26 cm, 12 cm, and 10 cm. 2. The formula for the volume $V$ of a rectangular prism is: $$V = l \times w \times h$$ where $l$ is length, $w$ is width, and $h$ is height. 3. Substitute the given values: $$V = 26 \times 12 \times 10$$ 4. Calculate step-by-step: $$26 \times 12 = 312$$ $$312 \times 10 = 3120$$ 5. Therefore, the volume of the prism is: $$\boxed{3120 \text{ cubic centimeters}}$$