To find the surface area of the triangular prism, we need to find the areas of each face and add them together.
1. The area of the front triangular face can be found using the formula for the area of a triangle: 1/2 * base * height = 1/2 * 10 * 8 = 40 square centimeters.
2. The area of the rectangular face can be found by multiplying the length and width: 10 * 6 = 60 square centimeters.
3. Since there are two triangular faces and three rectangular faces (front, back, and each side), we need to calculate the total area of the triangular and rectangular faces.
Total surface area = 2 * (triangle area) + 3 * (rectangle area)
Total surface area = 2 * 40 + 3 * 60
Total surface area = 80 + 180
Total surface area = 260 square centimeters
Therefore, the surface area of the triangular prism is 260 square centimeters. The correct answer is 260 square centimeters.
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
320 square centimeters
260 square centimeters
280 square centimeters
1 answer