Final answer:
The cost of painting an open rectangular box on the inside and outside is determined by calculating the total surface area and multiplying by the cost per unit area. A typo in the length measurement prevents an accurate calculation without the correct dimension.
Step-by-step explanation:
To find the cost of painting a rectangular box, we must calculate its surface area since the box is being painted on the inside and the outside. However, the question mentions a 1 mm long measurement, which seems to be a typo. Assuming the measurement should be in centimeters or meters as the other measurements are in centimeters, we would need the correct length to proceed with an accurate calculation. Since we are dealing with three-dimensional shapes, we calculate the surface area of each side of the box and multiply by two for both the inside and outside surfaces.
The formula for the surface area (A) of one side of an open rectangular box is given by A = lw + lh + wh, where l is the length, w is the width and h is the height. Given the correct length, we would sum the areas of all sides (note that the top has no area since the box is open) and double that sum to account for both inside and outside. We would then multiply this total surface area by the cost per square centimeter to find the final cost of painting.