Cuboid volume = length × width × height. Let the length, width and height of a cuboid be A, B and C respectively, then its volume V = abc=Sh.

Because the cuboid is also a kind of prism, the formula for calculating the volume of prism is also applicable. Cuboid volume = bottom area × height, that is, V=sh(S is the bottom area and h is the height).

When the length A, width B and height H of a cuboid are integers, the cuboid is just divided into cubes with rows B, columns A and layers H, and the volume is 1, so the volume is abh unit of volume.

"Length" means "how many lines (corresponding to unit of volume)", "width" means "how many lines" and "height" means "how many layers". So "length × width × height" means "rows × rows × floors". It can be concluded that "length × width" in the calculation of cuboid volume is "number of units of volume in one floor".

Extended data:

Two 4-meter-long cubes are spliced into a cuboid. The spliced cuboid has a surface area of 160 square decimeter and a volume of 128 cubic decimeter.

Method 1: Because it is a cuboid composed of two cubes, * * disappears two faces, leaving 10 faces, that is, 4× 4× 10 = 160 (square decimeter), cuboid volume = cuboid volume× 2 =128 (.

Method 2: After assembling a cuboid, find out whether the cuboid is 4+4 = 8 decimeters long, 4 decimeters wide and 4 decimeters high. According to the formula, the surface area and volume of the cuboid are calculated respectively.