1. **State the problem:** Find the surface area of a rectangular prism with dimensions height $h=3$ yd, width $w=5$ yd, and depth $d=1 \frac{1}{5}$ yd. 2. **Convert mixed number to decimal:** $$1 \frac{1}{5} = 1 + \frac{1}{5} = 1 + 0.2 = 1.2$$ 3. **Formula for surface area of a rectangular prism:** $$SA = 2(hw + hd + wd)$$ 4. **Substitute the values:** $$SA = 2(3 \times 5 + 3 \times 1.2 + 5 \times 1.2)$$ 5. **Calculate each product:** $$3 \times 5 = 15$$ $$3 \times 1.2 = 3.6$$ $$5 \times 1.2 = 6$$ 6. **Sum inside the parentheses:** $$15 + 3.6 + 6 = 24.6$$ 7. **Multiply by 2:** $$SA = 2 \times 24.6 = 49.2$$ 8. **Final answer:** The surface area of the prism is **49.2 square yards**.