The shape is 10 cm 10 cm 10 cm8 cm 6 cm Solve for the surface area of the triangular prism.
(1 point)
• 260 square centimeters
• 180 square centimeters
• 280 square centimeters
• 320 square centimeters
Surface area of a triangular prism = 2(area of triangular base) + (perimeter of base x height)
First, calculate the area of the triangular base:
Base of the triangle = 10 cm
Height of the triangle = 8 cm
Area of triangular base = 1/2 * base * height
Area of triangular base = 1/2 * 10 cm * 8 cm
Area of triangular base = 40 square cm
Next, calculate the perimeter of the base:
Perimeter of base = sum of all sides of the triangular base
Perimeter of base = 10 cm + 10 cm + 6 cm
Perimeter of base = 26 cm
Now, calculate the surface area of the prism:
Surface area = 2(40 square cm) + (26 cm * 10 cm)
Surface area = 80 square cm + 260 square cm
Surface area = 340 square cm
Therefore, the surface area of the triangular prism is 340 square centimeters.