Subjects geometry

Triangular Prism Area Cd1Dac

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1. The problem is to find the surface area of a triangular prism given its net on a 1 cm² grid. 2. The net consists of two triangles and three rectangles. The surface area of the prism is the sum of the areas of these shapes. 3. Formula for surface area of a prism: $$\text{Surface Area} = 2 \times \text{Area of triangle} + \text{Sum of areas of rectangles}$$ 4. Count the area of one triangle by counting the squares inside it on the grid. Suppose the triangle covers $A_t$ cm². 5. Count the areas of the three rectangles by counting the squares inside each. Suppose their areas are $A_{r1}$, $A_{r2}$, and $A_{r3}$ cm² respectively. 6. Calculate total surface area: $$\text{Surface Area} = 2 \times A_t + A_{r1} + A_{r2} + A_{r3}$$ 7. Since the grid is 1 cm² per square, counting the squares directly gives the areas. 8. Add all these areas to get the final surface area in cm². Without the exact counts from the image, the method is to count the squares for each shape and apply the formula above.