7,310 cm^2 is the area of the paper that needed to be covered with colored paper as per the given cuboid box dimensions.
The Given data is:
The total surface area of the given cuboid box can be calculated by the sum of the areas of all six faces.
The given dimensions of cuboid box = 70 cm×28 cm×35 cm
The Area of the Base of the cuboid box is:
70 × 35 = 2450 cm^2
The Area of each face of the cuboid box is:
28 × 35 = 980 cm^2
The Area of each back of the cuboid box is:
70 × 28 cm= 1960 cm^2
The total surface area =
2450 cm^2+ 2 × 980 cm^2+ 2 × 1960 cm^2 = 7,310 cm^2
Therefore, we can conclude that 7,310 cm^2 is the area of the paper that needed to be covered with colored paper.