Final answer:
The surface area of the rectangular prism is calculated by summing the area of all individual faces, resulting in a total surface area of 40 square meters.
Step-by-step explanation:
To find the surface area of a rectangular prism with dimensions L=4m (length), B=2m (breadth/width), and H=2m (height), you calculate the area of all six faces and sum them up.
There are two faces for each pair of dimensions:
- Two faces with area L*B = 4m * 2m = 8m²
- Two faces with area L*H = 4m * 2m = 8m²
- Two faces with area B*H = 2m * 2m = 4m²
Adding these areas together gives the total surface area:
Surface Area = 2*(8m²) + 2*(8m²) + 2*(4m²)
= 16m² + 16m² + 8m²
= 40m².
Therefore, the surface area of the rectangular prism is 40 square meters.