A cuboid with a length of 10cm, a width of 8cm and a height of 8cm is cut into the largest cuboid, and the volume of the cuboid is several percent of the cuboid volume

A cuboid with a length of 10cm, a width of 8cm and a height of 8cm is cut into the largest cuboid, and the volume of the cuboid is several percent of the cuboid volume

According to the meaning of the title, it can only be cut into a cube of 8cm in width and height, with the volume of V1 = 8 * 8 * 8 = 512cm;
The volume of the original cuboid V2 = 10 * 8 * 8 = 640cm & # 179;
512/640=80%
Fast solution: it can only cut long cube with 8 cm width and height, so only the length is changed in the condition, so the width and height are inconvenient
So cube volume / Cuboid volume = 8 / 10 = 80%

A cuboid is one meter long. If you saw it for two centimeters, its volume will be reduced by 20 cubic centimeters. What is the volume of this section of wood?
Come on,

If you saw two centimeters, it would be 20 cubic centimeters smaller,
The product of the cuboid's width and height is 10 square centimeters,
That is, the cross-sectional area of the cuboid is 10 square centimeters,
So the volume of this piece of wood is 100X10 cubic centimeters

A cuboid wood is 1.2m long. If 2cm is sawn off, its volume will be reduced by 40 cubic centimeters. What is the original volume of this wood?

1.2m = 120cm
40 △ 2 × 120 = 2400 CC