When the height of a cuboid is reduced by 3cm, it becomes a cube with a surface area of 36cm less than the original cuboid

When the height of a cuboid is reduced by 3cm, it becomes a cube with a surface area of 36cm less than the original cuboid

When the height of the cuboid is reduced by 3cm, the surface area of the cuboid is reduced by 3cm
So the circumference of the bottom of the cuboid is 36 / 3 = 12 cm
When the height of the cuboid is reduced by 3cm, it becomes a cube, and the bottom of the original cuboid is a square,
Bottom side length = 12 / 4 = 3cm
The height of the cuboid is 3 + 3 = 6cm
therefore
The volume of the original cuboid
=3*3*6
=54 CC