If the height of a cuboid wood block is reduced by 2 cm, its surface area will be reduced by 24 square cm, just becoming a cube. What is the volume of this cuboid This question was asked by my classmate I didn't understand what you wrote. Why multiply by four?

If the height of a cuboid wood block is reduced by 2 cm, its surface area will be reduced by 24 square cm, just becoming a cube. What is the volume of this cuboid This question was asked by my classmate I didn't understand what you wrote. Why multiply by four?

1. Let the edge length of the cube be a, then the surface area of the cuboid minus 2 cm is s = 2A * 4
That is: 24 = 2 * a * 4 -- "a = 3
2. Therefore, the height of cube is h = 2 + 3 = 5
3、V=a*a*h
Namely: v = 3 * 3 * 5 = 45 (cm3)

Reduce the height of a cuboid by 2 cm and turn it into a cube. It is known that its surface area is reduced by 24 square cm. Calculate the volume of the original cuboid

Length of rectangle: 24 △ 4 △ 2 = 3 (CM)
Volume of original cuboid: 3 × 3 × (3 + 2) = 45 (cubic centimeter)

When the height of a cuboid is reduced by 3cm, it becomes a cube, and its surface area is reduced by 24cm?

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Bottom edge length: 24 △ 3 △ 4 = 2 (CM)
Original volume: 2 × 2 × (2 + 3) = 20 (cm3)

Reduce the height of a cuboid by 2 cm to become a cube. It is known that its surface area is reduced by 24 square cm. Calculate the volume of the original cuboid

The width of the reduced surface (the edge length of the remaining cube) is 24 ／ 4 ／ 2 = 3 (CM); the length of the original cuboid is 3 + 2 = 5 (CM), and the cuboid volume is 5 × 3 × 3 = 45 (cubic cm). A: the cuboid volume is 45 cubic cm