1. **Problem statement:** Luke is building a cardboard car body shaped like a truncated rectangular prism. The bottom face is open, so we need to find the surface area of all the other faces combined. 2. **Given dimensions:** Top edge = 19 in, left slanted edge = 22 in, right vertical edge = 20.3 in, lower-left edge = 17 in, bottom edge = 35 in. 3. **Formula for surface area of a prism:** $$\text{Surface Area} = \text{Sum of areas of all faces except the open bottom}$$ 4. **Step-by-step calculation:** - Calculate the area of the top face (rectangle): $$19 \times 35 = 665 \text{ in}^2$$ - Calculate the area of the left face (rectangle): $$22 \times 17 = 374 \text{ in}^2$$ - Calculate the area of the right face (rectangle): $$20.3 \times 17 = 345.1 \text{ in}^2$$ - Calculate the area of the front face (rectangle): $$19 \times 20.3 = 385.7 \text{ in}^2$$ - Calculate the area of the back face (rectangle): $$19 \times 22 = 418 \text{ in}^2$$ 5. **Sum all these areas:** $$665 + 374 + 345.1 + 385.7 + 418 = 2187.8 \text{ in}^2$$ 6. **Answer:** Luke will need approximately **2187.8 in^2** of cardboard to build the car body with the bottom open.