Final answer:
The surface area of the rectangular prism with the given dimensions is 430 square millimeters, which is option c).
Step-by-step explanation:
The question asks us to calculate the surface area of a rectangular prism given its length, width, and height, with the height being double the width. To find the surface area, we sum the areas of all six faces. The dimensions given are: length (l) = 11 mm, width (w) = 5 mm, and height (h) which is double the width, so h = 2w = 10 mm.
The formula for the surface area (SA) of a rectangular prism is:
SA = 2lw + 2lh + 2wh
Substituting the given dimensions into the formula gives:
SA = 2(11 mm)(5 mm) + 2(11 mm)(10 mm) + 2(5 mm)(10 mm)
= 2(55 mm²) + 2(110 mm²) + 2(50 mm²)
= 110 mm² + 220 mm² + 100 mm²
= 430 mm².
The correct answer to this question is option c) 430 square millimeters.