Length and volume are not the same, any more than time and mass are the same. They are different properties that are measured with different units.
A cube that has a height and length and width of one unit will have a volume of one cubic unit, but that does not mean that it is correct to say that its length and volume are the same. Saying that is like saying that an hour weighs the same as a kilogram.
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about the same as the length of the volume
You cannot: given only the volume, there is no way to determine the length, or width or height. If you double the length and halve the width you would still have the same volume.
The volume of a cube is determined by cubing the length of one edge, so the cube root of the volume will give you the length of an edge. (In a cube, all of the edges are the same length)
The formulae stays the same. Length x Width x Height. So for example if the length was 4cm, the height was 3cm and the width was 4cm. Then, the volume would be 4x3x4= 48cm3
to find area you multiply length times width to find volume you multiply length times width times heights