An open rectangular box extremely measures 4m*3m*4m. Find the total cost of painting the box extremely if it costs #20.00 to paint one square meter

1 answer

First, we need to find the total area to be painted.

There are 6 faces to the rectangular box, and each face is a rectangle with dimensions:

- 4m x 4m (two faces)
- 4m x 3m (two faces)
- 3m x 4m (two faces)

To find the area of one face, we just multiply length x width:

- 4m x 4m = 16m² (for two faces, total = 32m²)
- 4m x 3m = 12m² (for two faces, total = 24m²)
- 3m x 4m = 12m² (for two faces, total = 24m²)

Total area = 32m² + 24m² + 24m²
Total area = 80m²

Now, we multiply the total area by the cost per square meter:

Total cost = 80m² x #20.00/m²
Total cost = #1,600.00

Therefore, the total cost of painting the box is #1,600.00.