Final answer:
To find the surface area of the wedge, calculate the area of the triangular base and the side faces. The total surface area is the sum of these areas. In this case, the surface area is 180 cm².
Step-by-step explanation:
To find the surface area of the wedge, we need to find the areas of the triangular base and the side faces.
The area of the triangular base can be found using the formula for the area of a triangle: A = 1/2 × base × height. Plugging in the values given, we have A = 1/2 × 15 cm × 8 cm = 60 cm².
The area of the four side faces can be found by multiplying the slant height by the height of the prism and then multiplying by 2. Plugging in the values given, we have A = 2 × 10 cm × 6 cm = 120 cm².
Adding the area of the triangular base to the total surface area of the side faces, we have a total surface area of 60 cm² + 120 cm² = 180 cm².