After sawing a 3 m long cuboid into three sections, the surface area increases by 8 square decimeters. How many cubic decimeters is the original volume of this cuboid?

After sawing a 3 m long cuboid into three sections, the surface area increases by 8 square decimeters. How many cubic decimeters is the original volume of this cuboid?


3m=30dm
30÷30=10dm
2 × 2 = 4 surfaces are added
The area of each side is 8 △ 4 = 2 square decimeters
The volume is equal to the bottom area × height 30 × 2 = 60 square decimeters



A cuboid wood, 200cm long. Now this wood is sawed into three sections (the cross section is square), each section is cuboid, and the surface area is increased
A cuboid wood, 200 cm long. Now this wood is sawed into three sections (cross section is square), each section is cuboid, the surface area is 256 square centimeters more than the original. A cuboid wood, 200 cm long. Now this wood is sawed into three sections (cross section is square), each section is long cube, the surface area is 256 square centimeters more than the original. What is the original surface area of this cuboid wood?


A cuboid wood, 200cm in length. Now the wood is sawn into three sections (the cross section is square), each section is cuboid, the surface area is increased by four cross sections and square compared with the original. The original increase is 256 square centimeters
Cross section = 256 / 4 = 64, side length is 8 (8x8 = 64)
The original surface area of this cuboid wood is 64x2 + 8x200x4 = 6528 square centimeters