Final answer:
The surface area of a rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters is calculated as 2(lw + lh + wh), resulting in 52 m^2.
Step-by-step explanation:
To calculate the surface area of a rectangular prism, you must find the area of all six faces and sum them up. A rectangular prism has three types of faces: two ends (length times height), two sides (width times height), and two tops/bottoms (length times width). Using the given dimensions of the prism, the formula for the surface area is 2(lw + lh + wh), where l is the length, w is the width, and h is the height of the prism.
The calculation for the given dimensions would be:
2(3m * 4m + 3m * 2m + 4m * 2m) = 2(12m2 + 6m2 + 8m2) = 2(26m2) = 52m2.
The correct answer is c) 52 m2.