Final answer:
To find the dimensions, calculate the surface area of each face using the potential dimensions given, then compare with the surface area labels on the net of the rectangular prism. The correct dimensions will have surface area calculations that match the provided areas.
Step-by-step explanation:
To determine the dimensions of the rectangular prism, we need to match the surface areas provided with the possible dimensions of the rectangular prism. The net would typically be composed of three pairs of rectangles, each pair making up opposite faces of the prism. In the given options, we can compare each dimension to see which could correspond to the given areas.
For instance, if we take the first option (a), Length: 3, Width: 2, Height: 4, we can calculate the surface area of each face:
- Top/Bottom face (Width x Length): 2x3=6 square inches
- Front/Back face (Width x Height): 2x4=8 square inches
- Left/Right face (Length x Height): 3x4=12 square inches
We would then compare these calculated surface areas to the ones provided with the net in the student's question. The correct set of dimensions will match the surface areas on the net.