Length is one of the dimensions. Length, width, height etc. which can describe an object are called its dimensions.
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perpendicular.
There are 2 dimensions in a square, length and width, which are always the same, due to the nature of a square.
If you double the cross-sectional area and halve the length, you will still have the same volume but the dimensions will be different.
That is correct. All 3 dimensions of a cube are the same.
No, a point has no length, width, or height and thus has no dimensions. It is defined by a set of coordinates, but itself has no dimensions. A line has length but no width or height, and thus has 1 dimension. a plane has length and width, but no height, and thus has 2 dimensions. a space has length, width and height, and thus has 3 dimensions.