5 cm

Question

11 cm

3 cm

4 cm

What is the surface area of the triangular prism?

Answer 1

To calculate the surface area of a triangular prism, we need to find the area of each face and then add them together.

The triangular faces have a base of 5 cm and a height of 4 cm. The area of one triangular face is 0.5 * base * height = 0.5 * 5 * 4 = 10 cm^2.

Since there are two triangular faces, the total area of the triangular faces is 2 * 10 = 20 cm^2.

The rectangular faces have dimensions of 11 cm by 4 cm, and 11 cm by 3 cm. The areas of the rectangular faces are 11 * 4 = 44 cm^2 and 11 * 3 = 33 cm^2.

Therefore, the total surface area of the triangular prism is 20 cm^2 (triangular faces) + 44 cm^2 (rectangular face) + 33 cm^2 (rectangular face) = 97 cm^2.