Use the image to answer the question.
Solve for the surface area of the triangular prism.
(1 point)
260 square centimeters
180 square centimeters
280 square centimeters
320 square centimeters
To find the surface area of the triangular prism, we need to add up the areas of all the individual faces.
First, we find the area of the two triangular bases:
Area of one triangular base = (1/2) * base * height = (1/2) * 10 cm * 8 cm = 40 square centimeters (for one base)
Total area for both bases = 40 * 2 = 80 square centimeters
Next, we find the area of the three rectangular faces:
Area of one rectangular face = length * height = 6 cm * 10 cm = 60 square centimeters (for one face)
Total area for all three faces = 60 * 3 = 180 square centimeters
Finally, we add the areas of the bases and faces together:
80 (area of bases) + 180 (area of rectangular faces) = 260 square centimeters
So, the surface area of the triangular prism is 260 square centimeters.
The correct answer is:
260 square centimeters