Final answer:
The surface area of a rectangular prism with a length of 12 cm, a width of 7 cm, and a height of 1.6 cm is calculated as 228.8 cm². This result is not among the provided options, indicating a possible error in the question or in the given choices.
Step-by-step explanation:
To find the surface area of a rectangular prism, we need to calculate the area of all six faces (2 length × width, 2 width × height, and 2 length × height) and sum them together. The formula for the surface area (SA) of a rectangular prism is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
Given the dimensions of the rectangular prism are 12 cm (length), 7 cm (width), and 1.6 cm (height), we can substitute these values into the formula:
SA = 2(12 cm × 7 cm) + 2(12 cm × 1.6 cm) + 2(7 cm × 1.6 cm)
SA = 2(84 cm²) + 2(19.2 cm²) + 2(11.2 cm²)
SA = 168 cm² + 38.4 cm² + 22.4 cm²
SA = 228.8 cm²
Therefore, the surface area of the rectangular prism is 228.8 cm², which is not one of the given options. It seems there may have been an error in the options provided or in the dimensions given.