Cut a cuboid iron block into two cubes of the same volume, and its surface area increases by 18 square centimeters. Find the surface area and volume of the original cuboid As above

Cut a cuboid iron block into two cubes of the same volume, and its surface area increases by 18 square centimeters. Find the surface area and volume of the original cuboid As above


Two bottom areas have been added, one is 18 △ 2 = 9 (square centimeter)
Because 9 = 3 × 3, the side length of the original cuboid is 3cm
The height of the original cuboid is 3 × 2 = 6 (CM)
Surface area of original cuboid: 3 × 6 × 4 + 3 × 3 × 2 = 90 (square centimeter)
Volume: 9 × 6 = 54 (cm3)