What is the surface area of the triangular prism? (1 point) square centimeters 10 cm 8 cm on left side 6 cm on bottom 9cmWhat is the surface area of the triangular prism? (1 point) square centimeters 10 cm 8 cm on left side 6 cm on bottom 9cm
The surface area of a triangular prism can be calculated by finding the area of the two triangular bases and adding it to the area of the three rectangular faces.
The area of the two triangular bases can be calculated by finding the area of a triangle, which is 1/2 * base * height. In this case, the base is 6 cm and the height is 9 cm, so the area of each triangular base is (1/2) * 6 * 9 = 27 square cm.
Next, we calculate the area of the three rectangular faces. The left and right sides have dimensions 9 cm by 8 cm, so their combined area is 9 * 8 + 9 * 8 = 144 square cm. The bottom face has dimensions 6 cm by 8 cm, so its area is 6 * 8 = 48 square cm.
Therefore, the total surface area of the triangular prism is the sum of the areas of the two triangular bases and the three rectangular faces:
27 + 27 + 144 + 48 = 246 square cm
So, the surface area of the triangular prism is 246 square cm.