If the height of a cuboid is increased by 3 cm, it will become a cube. At this time, the surface area is increased by 96 square cm. What is the volume of the original cuboid?

If the height of a cuboid is increased by 3 cm, it will become a cube. At this time, the surface area is increased by 96 square cm. What is the volume of the original cuboid?

The area of one additional face: 96 △ 4 = 24 (square centimeter); the length (width) of the cuboid: 24 △ 3 = 8 (centimeter); the height of the cuboid: 8-3 = 5 (centimeter); the volume: 8 × 8 × 5 = 320 (cubic centimeter); a: the volume of the cuboid is 320 cubic centimeter