When the height of a cuboid is reduced by 3cm, it becomes a cube. At this time, the surface area is reduced by 48CM. What is the volume of the cuboid

When the height of a cuboid is reduced by 3cm, it becomes a cube. At this time, the surface area is reduced by 48CM. What is the volume of the cuboid

The height of the cuboid is shortened by 3 cm, and the surface area is reduced by the area of four small cuboids with a width of 3 cm,
The area of a small rectangle: 48 △ 4 = 12 square centimeters
Length of small rectangle: 12 △ 3 = 4cm
This 4cm is the length of the bottom side of the original cuboid
The original cuboid volume: 4 × 4 × (4 + 3) = 112 cubic centimeters

A cuboid wood block, cut from the top of the cuboid 5 cm high, the rest is a cube, the surface area reduced by 120 square centimeters______ Cubic centimeter

The original cuboid's length and width are: 120 △ 4 △ 5, = 30 △ 5, = 6 (CM); the original cuboid's height is: 6 + 5 = 11 (CM); the original cuboid's volume is: 6 × 6 × 11 = 396 (cm3); answer: the original cuboid's volume is 396 cm3. So the answer is: 396

When the height of a cuboid is reduced by 3cm, it becomes a cube,
And the surface area is reduced by 36 square centimeters. The volume of this cube is () cubic centimeters

The reduced surface area is the reduced side area
Side length of square = 36 △ 3 △ 4 = 3cm
So:
Volume = 3 × 3 × 3 = 27 CC