Using the net what is the surface area of the triangular prism?
12cm
13cm
5cm
9cm
To find the surface area of a triangular prism, you can use the formula:
Surface Area = 2 * (base area) + (perimeter of base) * (height)
Since a triangular prism has 2 triangular bases and 3 rectangular faces, the formula can also be expressed as:
Surface Area = 2 * (Area of base) + (perimeter of base) * height
Given the dimensions of the triangular prism:
Base: 12 cm x 5 cm
Height: 9 cm
Perimeter of the base: (12 cm + 5 cm + 13 cm) = 30 cm
Area of base: (1/2) * base * height = (1/2) * 12 cm * 5 cm = 30 cm^2
Now, plug the values into the formula:
Surface Area = 2 * 30 cm^2 + 30 cm * 9 cm
Surface Area = 60 cm^2 + 270 cm
Surface Area = 330 cm^2
Therefore, the surface area of the triangular prism is 330 cm^2.