To find the surface area of a triangular prism using nets, we need to break down the prism into its individual faces and find the area of each face.
Given that the triangular prism has a base with sides measuring 6 cm, 8 cm, and 10 cm, and a height of 5 cm, we can create a net consisting of two triangles with base and height as given above and three rectangles with dimensions 6 cm x 5 cm, 8 cm x 5 cm, and 10 cm x 5 cm.
Let's calculate the area of each face:
- Area of each triangle = 1/2 * base * height
= 1/2 * 6 cm * 5 cm
= 15 cm²
So, the total area of both triangles = 2 * 15 cm² = 30 cm²
- Area of each rectangle = length * width
= 6 cm * 5 cm
= 30 cm²
= 8 cm * 5 cm
= 40 cm²
= 10 cm * 5 cm
= 50 cm²
So, the total area of all three rectangles = 30 cm² + 40 cm² + 50 cm² = 120 cm²
Therefore, the surface area of the triangular prism is the total area of all faces:
Surface area = 30 cm² (triangles) + 120 cm² (rectangles)
Surface area = 150 cm²
Hence, the surface area of the triangular prism is 150 cm².
Apply the technique of using nets to find the surface area of this trianglar prism your answer should have two decimal places
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1 answer