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)
Responses
180 square centimeters
180 square centimeters
280 square centimeters
280 square centimeters
260 square centimeters
260 square centimeters
320 square centimeters
To solve for the surface area of the triangular prism, we need to calculate the area of each face and then add them together.
1. Area of the triangular face:
Area = (1/2) * base * height
Area = (1/2) * 10 cm * 8 cm = 40 square centimeters.
2. Area of the rectangular face:
Area = length * width
Area = 10 cm * 6 cm = 60 square centimeters.
3. There are two triangular faces and three rectangular faces in a triangular prism.
Total surface area = 2 * (triangle area) + 3 * (rectangular area)
Total surface area = 2 * 40 square centimeters + 3 * 60 square centimeters
Total surface area = 80 square centimeters + 180 square centimeters
Total surface area = 260 square centimeters
Therefore, the surface area of the triangular prism is 260 square centimeters.