Final answer:
Using the formula for the surface area of a prism, SA = 2lw + 2lh + 2wh, and plugging in the given measurements, the surface area of the prism is found to be 562 square units, which corresponds to option c.
Step-by-step explanation:
To calculate the surface area of a prism, you need to find the area of all its faces. For a rectangular prism, the surface area (SA) is given by the formula SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
Given the dimensions: length (l) = 13 units, width (w) = 2 units, and height (h) = 17 units, we can substitute these into the formula:
SA = 2(13)(2) + 2(13)(17) + 2(2)(17)
SA = 2(26) + 2(221) + 2(34)
SA = 52 + 442 + 68
SA = 562 square units
Thus, the correct option is c. 562 sq. units.c