To determine the total surface area of a composite 3D figure, you generally need to analyze the shape and components of the figure, calculate the surface areas of each individual part, and then combine those areas while accounting for any overlapping areas that should not be included twice.
Since you have not provided specific dimensions or details about the figure in question, I cannot perform the calculations for the surface area directly. However, I can guide you through the general steps you need to follow:
- Identify the components of the composite figure (e.g., cubes, cylinders, spheres).
- Calculate the surface area of each component using the appropriate formulas:
- For a cube: \( SA = 6s^2 \) (where \( s \) is the side length).
- For a rectangular prism: \( SA = 2lw + 2lh + 2wh \) (where \( l \), \( w \), and \( h \) are length, width, and height).
- For a cylinder: \( SA = 2\pi r(h + r) \) (where \( r \) is the radius and \( h \) is the height).
- For a sphere: \( SA = 4\pi r^2 \) (where \( r \) is the radius).
- Add the individual surface areas together.
- Subtract any overlapping areas where the parts meet to avoid double-counting.
If you can provide the specific dimensions or the type of composite figure you're working with, I can assist you further in calculating the total surface area, or I can help verify which of the provided responses is correct based on calculated values.