Final answer:
The surface area of a rectangular prism with dimensions 2cm, 10cm, and 20cm is 520 cm². None of the provided options A) 80 cm² B) 120 cm² C) 200 cm² D) 400 cm² match this answer, indicating a possible error in the question or options.
Step-by-step explanation:
To determine the surface area of a rectangular prism with dimensions 2cm, 10cm, and 20cm, we use the formula for surface area of a rectangular prism, which is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
Using the given dimensions:
- Length (l) = 20 cm
- Width (w) = 10 cm
- Height (h) = 2 cm
The calculation will be as follows:
SA = 2(20 cm)(10 cm) + 2(20 cm)(2 cm) + 2(10 cm)(2 cm)
SA = 2(200 cm²) + 2(40 cm²) + 2(20 cm²)
SA = 400 cm² + 80 cm² + 40 cm²
SA = 520 cm²
Therefore, the surface area of the rectangular prism is 520 cm², which is not listed in the given options A) 80 cm² B) 120 cm² C) 200 cm² D) 400 cm². It seems there may have been a mistake in the provided options or in the interpretation of the question. Always ensure that the question is clear and the options provided are correct before answering.