If the height of a cuboid increases by 2cm, it will become a cube. At this time, the surface area will increase by 56cm. (1) what is the volume of the cube? (2) How many square centimeters is the surface area of the original cuboid?

If the height of a cuboid increases by 2cm, it will become a cube. At this time, the surface area will increase by 56cm. (1) what is the volume of the cube? (2) How many square centimeters is the surface area of the original cuboid?

(1) 7 × 7 × 5 = 49 × 5 = 245 (cubic centimeter) a: the volume of this cuboid is 245 cubic centimeter. (2) 7 × 7 × 2 + 7 × 5 × 4 = 98 + 140 = 238 (square centimeter) a: the surface area of the original cuboid is 238 square centimeter

If the height of a cuboid is increased by 3 cm, it will become a cube. At this time, the surface area is increased by 96 square cm. What is the volume of the original cuboid?

The area of one additional face: 96 △ 4 = 24 (square centimeter); the length (width) of the cuboid: 24 △ 3 = 8 (centimeter); the height of the cuboid: 8-3 = 5 (centimeter); the volume: 8 × 8 × 5 = 320 (cubic centimeter); a: the volume of the cuboid is 320 cubic centimeter

If the height of a cuboid is increased by 3, it becomes a cube. At this time, the surface area is increased by 96 square centimeters. Find the volume of the original cuboid

What is the perimeter of the base of a cube
96 △ 3 = 32 (CM)
What is the edge length (that is, the length and width) of a cube
32 △ 4 = 8 (CM)
What is the height of a cuboid
8-3 = 5 (CM)
The original cuboid volume is
8 × 8 × 5 = 320 (cm3)