When the height of a cuboid increases by 2 cm, it becomes a cube. At this time, the surface area increases by 56 square cm. What is the volume of a cuboid?

When the height of a cuboid increases by 2 cm, it becomes a cube. At this time, the surface area increases by 56 square cm. What is the volume of a cuboid?

According to the meaning of the title, the bottom of the cuboid is a square, and the side length of the bottom can be set as x cm
4 * 2 * x = 56
x = 7
So the height of the original cuboid is 7 - 2 = 5cm
The cuboid volume is 7 * 7 * 5 = 245 square centimeters