1. **State the problem:** We need to find the volume of a pyramid with a rectangular base. 2. **Given data:** The base is a rectangle with length $11$ cm and width $23$ cm. The height from the base to the apex $A$ is $26$ cm. 3. **Formula for the volume of a pyramid:** $$\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}$$ 4. **Calculate the base area:** $$\text{Base Area} = 11 \times 23 = 253 \text{ cm}^2$$ 5. **Calculate the volume:** $$\text{Volume} = \frac{1}{3} \times 253 \times 26$$ 6. **Simplify the multiplication:** $$\text{Volume} = \frac{1}{3} \times 6578 = \frac{6578}{3}$$ 7. **Divide to find the volume:** $$\text{Volume} = 2192.666\ldots \text{ cm}^3$$ 8. **Round to 3 significant figures:** $$\text{Volume} \approx 2190 \text{ cm}^3$$ **Final answer:** The volume of the pyramid is approximately $2190$ cm$^3$ to 3 significant figures.