1. **State the problem:** Find the surface area of a rectangular prism with dimensions height $h=6$ in, width $w=4$ in, and depth $d=7$ in. 2. **Formula for surface area of a rectangular prism:** $$\text{Surface Area} = 2(hw + hd + wd)$$ This formula adds the areas of all six faces: two each of height-width, height-depth, and width-depth rectangles. 3. **Calculate each product:** $$hw = 6 \times 4 = 24$$ $$hd = 6 \times 7 = 42$$ $$wd = 4 \times 7 = 28$$ 4. **Sum the products:** $$24 + 42 + 28 = 94$$ 5. **Multiply by 2:** $$2 \times 94 = 188$$ 6. **Final answer:** The surface area of the rectangular prism is **188 in²**.