The volume of a cuboid is 2 times the volume of a cube. The length and breadth of the cuboid are 5 m and 5 m, respectively. The base of the cube is half the height of the cuboid. Find the lateral surface area of the cuboid.

Let the height of the cuboid be H, so the base of the cube is 0.5H and its volume is (0.5H)^3. The volume of the cuboid is 5 * 5 * H = 25H, which is two times the cube's volume, giving 25H = 2(0.5H)^3 = 0.25H^3. This simplifies to H = 100 m. The lateral surface area of a cuboid is calculated as 2(l + b)H, so substituting the values gives 2(5 + 5)100 = 250 m2. The lateral surface area is 250 m2.

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