To find the surface area of the triangular prism, we need to find the area of all the individual faces and then add them up.
1. The area of the triangular face:
Area = 0.5 * base * height
Area = 0.5 * 10 * 8 = 40 square centimeters
2. The area of the rectangular face:
Area = length * width
Area = 10 * 6 = 60 square centimeters
3. The area of the other triangular face (which is the same as the front face):
Area = 40 square centimeters
Now, add up the areas of all the faces to find the total surface area:
Total surface area = 40 + 60 + 40 = 140 square centimeters
Therefore, the surface area of the triangular prism is 140 square centimeters.
Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The left rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. All sides of the triangle measure 10 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 8 centimeters. The width of the rectangular face measures 6 centimeters.
Solve for the surface area of the triangular prism.
1 answer