The solution to this equation requires recalling the following equations:
Area of a square = s^2 (where s is the measure of one side of the square)
Volume of a rectangular prism = area of the base * height
Using these formulas yields the measure of the sides of the base is the square root of 484 cm^2 = 22 cm
Because the volume is 4840 cm^3 and the base is 484 cm^2, then the height of the box is 10 cm
The lateral surface area then becomes 4*10 cm*22 cm) = 880 cm^2