What is the surface area of the triangular prism
10cm
6cm
9cm
8cm
To calculate the surface area of a triangular prism, you need to find the area of each face and then add them together.
First, calculate the area of the triangular bases. The formula for the area of a triangle is 1/2 * base * height.
Area of triangular base = 1/2 * 10 cm * 6 cm = 30 cm²
Since there are two triangular bases, the total area of both bases = 2 * 30 cm² = 60 cm²
Next, calculate the area of the three rectangular faces. The formula for the area of a rectangle is length * width.
Area of rectangle 1 = 10 cm * 9 cm = 90 cm²
Area of rectangle 2 = 6 cm * 8 cm = 48 cm²
Area of rectangle 3 = 9 cm * 8 cm = 72 cm²
Total area of all three rectangular faces = 90 cm² + 48 cm² + 72 cm² = 210 cm²
Finally, add the areas of the triangular bases and the rectangular faces to find the total surface area of the triangular prism.
Total surface area = 60 cm² + 210 cm² = 270 cm²
Therefore, the surface area of the triangular prism is 270 cm².