To find the surface area of the triangular prism, we need to find the area of each individual face and then add them up.
1. The front triangular face: The area of a triangle is 1/2 * base * height. In this case, the base is 10 cm and the height is 8 cm. So the area of the triangle is 1/2 * 10 * 8 = 40 square cm.
2. The back triangular face: Since the front and back faces are congruent, the area is also 40 square cm.
3. The two rectangular faces: The area of a rectangle is length * width. The length of the rectangle is the same as the base of the triangle, 10 cm, and the width is 6 cm. So the area of each rectangle is 10 * 6 = 60 square cm.
Adding up the areas of all four faces: 40 (front) + 40 (back) + 60 (left rectangle) + 60 (right rectangle) = 200 square cm.
Therefore, the surface area of the triangular prism is 200 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
320 square centimeters
320 square centimeters
260 square centimeters
260 square centimeters
280 square centimeters
280 square centimeters
180 square centimeters
180 square centimeters
1 answer