Use the image to answer the question. What is the surface area of the triangular prism? (1 point) square centimeters Skip to navigation

Answer 1

To find the surface area of a triangular prism, we must calculate the area of each face and then add them together.

1. The area of the triangular base can be calculated using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 6 cm * 4 cm
Area = 12 square centimeters

2. The two rectangular faces each have an area of:
Area = length * width
Area = (6 cm * 4 cm) + (6 cm * 3 cm)
Area = 24 square centimeters + 18 square centimeters
Area = 42 square centimeters

3. Now, add all three areas together to find the total surface area of the triangular prism:
Total Surface Area = 12 square centimeters + 42 square centimeters
Total Surface Area = 54 square centimeters

Therefore, the surface area of the triangular prism is 54 square centimeters.