3cm
4 cm
11 cm
5 cm
What is the surface area of the triangular prism?
___ square centimeters
The surface area of a triangular prism can be calculated by adding the areas of all its faces.
The triangular faces have a base of 3 cm and a height of 4 cm, so the area of each triangular face is (1/2) x base x height = (1/2) x 3 cm x 4 cm = 6 cm^2. Since there are 2 triangular faces, the total area for both triangular faces is 2 x 6 cm^2 = 12 cm^2.
The rectangular faces have dimensions of 3 cm x 11 cm and 4 cm x 11 cm. The area of each rectangle is length x width, so the area of the first rectangle is 3 cm x 11 cm = 33 cm^2 and the area of the second rectangle is 4 cm x 11 cm = 44 cm^2. Adding these two areas together gives a total of 33 cm^2 + 44 cm^2 = 77 cm^2 for the rectangular faces.
Therefore, the total surface area of the triangular prism is 12 cm^2 (for the triangular faces) + 77 cm^2 (for the rectangular faces) = 89 cm^2.
The surface area of the triangular prism is 89 square centimeters.