What is the surface area of the triangular prism? (1 point) __ square centimeters
The base is 6 centimeters, the height is 9 centimeters, the width is 9 centimeters, and the angle is 10 centimeters.
The surface area of a triangular prism can be calculated using the formula: base area + lateral area
First, calculate the base area of the triangular prism:
Base area = 0.5 * base * height
Base area = 0.5 * 6 cm * 9 cm
Base area = 27 square cm
Next, calculate the lateral area of the triangular prism:
Lateral area = perimeter of the base * height
Perimeter of the base = sum of all three sides
Perimeter of the base = 9 cm + 9 cm + 6 cm
Perimeter of the base = 24 cm
Lateral area = 24 cm * 9 cm
Lateral area = 216 square cm
Now, calculate the total surface area of the triangular prism:
Total surface area = base area + lateral area
Total surface area = 27 square cm + 216 square cm
Total surface area = 243 square cm
Therefore, the surface area of the triangular prism is 243 square centimeters.