To calculate the surface area of the triangular prism, we need to find the areas of all the individual faces and then add them together.
The triangular faces have a base of 12 cm and a height of 5 cm, so the area of each triangular face is (1/2) * base * height = (1/2) * 12 cm * 5 cm = 30 cm^2, and there are two triangular faces, so the total area of the triangular faces is 2 * 30 cm^2 = 60 cm^2.
The rectangular faces have dimensions of 12 cm by 13 cm, so the area of each rectangular face is length * width = 12 cm * 13 cm = 156 cm^2, and there are three rectangular faces, so the total area of the rectangular faces is 3 * 156 cm^2 = 468 cm^2.
Adding the areas of the triangular and rectangular faces together, we get 60 cm^2 + 468 cm^2 = 528 cm^2.
Therefore, the surface area of the triangular prism is 528 cm^2.
12 cm
13 cm
5 cm
9 cm
Using the net, what is the surface area of the triangular prism?
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