Font solve for the surface area of the triangular prism ten centimeters six centimeters ten centimeters eight centimeters ten centimeters
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.