1. **State the problem:** We need to find the surface area of a rectangular prism using its net.
2. **Given dimensions and areas:**
- Front and back rectangles area = 12 cm² each.
- Dimensions given: length = 8 cm, width = 3 cm, height = 2 cm.
3. **Find the area of the side rectangles:**
- Side rectangles correspond to the faces with dimensions height and width.
- Area of one side rectangle = height × width = $2 \times 3 = 6$ cm².
- Since there are two side rectangles, total side area = $2 \times 6 = 12$ cm².
4. **Find the area of the top and bottom rectangles:**
- Top and bottom rectangles correspond to length and width.
- Area of one top/bottom rectangle = length × width = $8 \times 3 = 24$ cm².
- Since there are two such rectangles, total top and bottom area = $2 \times 24 = 48$ cm².
5. **Calculate total surface area:**
- Surface area = sum of areas of all faces.
- Front and back total area = $2 \times 12 = 24$ cm².
- Side rectangles total area = 12 cm² (from step 3).
- Top and bottom total area = 48 cm² (from step 4).
6. **Add all areas:**
$$\text{Surface Area} = 24 + 12 + 48 = 84 \text{ cm}^2$$
**Final answers:**
- Side rectangles area = 12 cm²
- Top and bottom rectangles area = 48 cm²
- Surface area = 84 cm²
Prism Surface Area 81C1E1
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