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 point)
To find the surface area of the triangular prism, we need to find the areas of all the visible faces and then add them together.
1. The area of the front triangular face = 1/2 * base * height
= 1/2 * 10 cm * 8 cm
= 40 cm²
2. The area of the left rectangular face = length * width
= 10 cm * 6 cm
= 60 cm²
3. The area of the right rectangular face (same as the left face) = 60 cm²
4. The area of the bottom rectangular face (same width as the left face) = length * width
= 10 cm * 6 cm
= 60 cm²
Now, add up all the areas:
40 cm² + 60 cm² + 60 cm² + 60 cm² = 220 cm²
Therefore, the surface area of the triangular prism is 220 cm².