Subjects geometry

Triangular Prism Area 766732

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1. **State the problem:** We need to find the surface area of a triangular prism using its net. 2. **Given:** Each triangular face has a base of 10 cm and a height of 8 cm. There are 4 congruent triangles in the net. 3. **Formula for the area of a triangle:** $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 4. **Calculate the area of one triangle:** $$\text{Area} = \frac{1}{2} \times 10 \times 8 = \frac{1}{2} \times 80 = 40 \text{ cm}^2$$ 5. **Calculate the total area of all 4 triangles:** $$4 \times 40 = 160 \text{ cm}^2$$ 6. **Conclusion:** The total surface area of the triangular prism (sum of all 4 triangular faces) is 160 cm². Note: This calculation assumes the net consists only of the 4 triangular faces as described.
10 cm8 cm