What is the surface area of the triangular prism
6cm
9cm
10cm
8cm
Assuming that the given dimensions represent the height, base, and width of the triangular prism, respectively:
To find the surface area of a triangular prism, you first need to calculate the areas of the two triangular faces and the three rectangular faces separately, and then add them together.
1. Area of the triangular faces:
The formula to calculate the area of a triangle is 1/2 * base * height.
Area of the first triangle = 1/2 * 9cm * 6cm = 27 square cm
Area of the second triangle = 1/2 * 10cm * 6cm = 30 square cm
2. Area of the rectangular faces:
Since there are 3 rectangular faces, we need to calculate the area of each side separately.
Area of the first rectangular face = 6cm * 8cm = 48 square cm
Area of the second rectangular face = 6cm * 10cm = 60 square cm
Area of the third rectangular face = 8cm * 9cm = 72 square cm
3. Add the areas of all faces to find the total surface area:
Total surface area = Sum of all areas
Total surface area = 27 + 30 + 48 + 60 + 72 = 237 square cm
Therefore, the surface area of the triangular prism is 237 square cm.