To find the surface area of a triangular prism, we need to find the areas of all the surfaces and add them together.
The formula for the surface area of a triangular prism is:
Surface area = (base perimeter × height) + (2 × base area) + (2 × triangle area)
Given the measurements of the triangular prism:
Base length = 5 cm
Base width = 4 cm
Height = 6 cm
Side length of triangular base = 3 cm
1. Calculate the base perimeter:
Base perimeter = 2(Base length) + Base width = 2(5) + 4 = 14 cm
2. Calculate the base area:
Base area = Base length × Base width = 5 × 4 = 20 cm²
3. Calculate the triangle area:
Triangle area = (1/2) × base × height = (1/2) × 3 × 6 = 9 cm²
4. Calculate the surface area:
Surface area = (14 × 6) + (2 × 20) + (2 × 9) = 84 + 40 + 18 = 142 cm²
Therefore, the surface area of the triangular prism is 142 cm².
Apply the technique of using nets to find the surface d arranged this triangular prism your answer should have two decimal places
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