The surface area of the cuboid, with length 5 cm, width 2 cm, and height 3 cm, is 62 cm². This comprehensive calculation accounts for all six faces of the cuboid.
The formula for the surface area of a cuboid is indeed given by 2(lw + wh + lh), where l, w, and h are the length, width, and height of the cuboid, respectively. In this case, the given values are l = 5 cm, w = 2 cm, and h = 3 cm.
Plugging these values into the formula, we have 2(5 * 2 + 3 * 2 + 5 * 3). Simplifying the expression inside the parentheses, we get 2(10 + 6 + 15). Further simplification yields 2 * 31, which equals 62.
Therefore, the surface area of the cuboid is 62 cm². This result indicates the total area of all six faces of the cuboid. Each pair of opposite faces contributes to the overall surface area, and the calculation incorporates the lengths, widths, and heights accordingly.