The formula to find the surface area of a triangular prism is:
Surface Area = 2 × (base area) + (perimeter of base) × (height)
First, we need to find the base area of the triangular prism. The triangular base has a base of 10 cm and a height of 6 cm, so the area of the base is:
Base Area = 0.5 × base × height
Base Area = 0.5 × 10 cm × 6 cm
Base Area = 30 cm²
Next, we need to find the perimeter of the base. The base is a triangle with sides of 10 cm, 10 cm, and 8 cm, so the perimeter is:
Perimeter of base = 10 cm + 10 cm + 8 cm
Perimeter of base = 28 cm
Lastly, we need to find the height of the triangular prism, which is 10 cm.
Now, we can plug these values into the formula for surface area:
Surface Area = 2 × 30 cm² + 28 cm × 10 cm
Surface Area = 60 cm² + 280 cm²
Surface Area = 340 cm²
Therefore, the surface area of the triangular prism is 340 square centimeters.
Font solve for the surface area of the triangular prism ten centimeters six centimeters ten centimeters eight centimeters ten centimeters
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1 answer