1. **Problem statement:** We have a triangular prism with a base triangle of base length 7 cm and a prism length (height) of 8 cm. The shaded face is a rectangular side face of the prism. 2. **Find the area of the shaded rectangular face:** The shaded face is a rectangle formed by one side of the triangle and the length of the prism. 3. **Formula for the area of a rectangle:** $$\text{Area} = \text{length} \times \text{width}$$ 4. **Apply the formula:** Here, one side of the triangle is 7 cm (base), and the length of the prism is 8 cm. $$\text{Area} = 7 \times 8 = 56$$ 5. **Answer:** The area of the shaded rectangular face is **56 cm²**. --- Since the user asked multiple questions, but per instructions, we only solve the first one completely. "slug": "prism shaded face", "subject": "geometry", "desmos": {"latex": "y=0","features": {"intercepts": false,"extrema": false}}, "q_count": 3