What is the surface area of the triangular prism 10cm 9c. 6pm 8cm
The formula to calculate the surface area of a triangular prism is:
Surface Area = 2 * Area of base + Perimeter of base * Height
First, we need to calculate the area of the triangular base:
Area of base = 1/2 * base * height
Area of base = 1/2 * 9cm * 6cm
Area of base = 27 cm^2
Next, we need to calculate the perimeter of the base:
Perimeter of base = sum of all three sides
Perimeter of base = 10cm + 9cm + 8cm
Perimeter of base = 27cm
Now, plug these values into the formula to calculate the surface area:
Surface Area = 2 * 27cm^2 + 27cm * 10cm
Surface Area = 54cm^2 + 270cm
Surface Area = 324 cm^2
Therefore, the surface area of the triangular prism is 324 cm^2.