To find the surface area of a triangular prism using nets, we first need to identify the three shapes that make up the prism's net: two triangular bases and three rectangular lateral faces.
1. Calculate the area of the two triangular bases:
- The base of the prism is a right triangle with base 5 cm and height 4 cm.
- Area of a triangle = 1/2 * base * height
- Area of the base triangle = 1/2 * 5 cm * 4 cm = 10 square cm
2. Calculate the area of the three rectangular lateral faces:
- The lateral faces are rectangles with dimensions equal to the base of the triangle (5 cm) and the height of the prism (8 cm).
- Area of a rectangle = length * width
- Area of each lateral face = 5 cm * 8 cm = 40 square cm
- Total area of three lateral faces = 3 * 40 square cm = 120 square cm
3. Calculate the total surface area of the triangular prism:
- Total surface area = 2 * base area + 3 * lateral face area
- Total surface area = 2 * 10 square cm + 120 square cm = 140 square cm
Therefore, the surface area of the triangular prism is 140 square cm.
Apply the technique of using nets to find the surface area of this triangular prism. You answer should have two decimal places
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