If the height of a cuboid is reduced by 4 cm, it will become a cube. At this time, the surface area will be reduced by 96 square cm. What is the volume of the original cuboid?

If the height of a cuboid is reduced by 4 cm, it will become a cube. At this time, the surface area will be reduced by 96 square cm. What is the volume of the original cuboid?

The original cuboid's bottom side length is: 96 ﹣ 4 ﹣ 4, = 24 ﹣ 4, = 6 (CM), the height is: 6 + 4 = 10 (CM), the original cuboid's volume is: 6 × 6 × 10 = 360 (cm3); answer: the original cuboid's volume is 360 cm3