Surface Area of a Right Triangular Prism

In this problem, we are given a right triangular prism and its net. We need to find specific side lengths of the net and the total surface area of the prism.

Let's start by identifying the dimensions from the prism. It has a triangular base with sides three, four, and five centimeters. The length of the prism is eight centimeters.

Now, let's look at the net. Length A corresponds to the hypotenuse of the triangular face, which folds to meet the top rectangle. Looking at the prism, this is five centimeters.

Length B is the height of the triangle. From the prism diagram, we see this corresponds to the side labeled three centimeters.

Length C represents the length of the rectangular faces. In the prism, this corresponds to the depth, which is eight centimeters.

Finally, length D is the base of the triangle. Looking at the prism, the base is four centimeters.

For part b, we need to find the total surface area. This is the sum of the areas of all five shapes in the net: three rectangles and two triangles.