What is the depth length and width of a mega-liter of water?

Answer 1

The volume does not provide enough information to determine the depth, length and width. The water could be in a spherical container, or a blob of irregular shape. Even if it were a cuboid, the volume could be in the form of a shallow pool over a broad area or a tall column.

Answer 2

If you only know the volume, you have no way of calculating the dimensions. There are an

infinite number of different shapes and sizes, with different dimensions, that all have the

same volume. Even if you restrict the choice to a rectangular "box", there are still an infinite

number of those, with different sets of dimensions, that all have the same volume.

Here are a few examples:

1 litre = 1,000 cc

1 "mega-litre" = 109 cc

A rectangular box with a volume of 109 cc could have

any of the following dimensions (all in cm):

1,000 x 1,000 x 1,000

2,000 x 500 x 1,000

4,000 x 250 x 1,000

5,000 x 200 x 1,000

5,000 x 1,000 x 200

1,000 x 200 x 5,000

10,000 x 100 x 1,000

50,000 x 20 x 1,000

100,000 x 10 x 1,000

etc.

Answer 3

Information about the volume does not provide enough information to determine the dimensions. First, it does not determine the basic shape: a sphere, a cuboid, a cylinder or a randomly shaped blob. Second, even if it were a cuboid, it could be a shallow cuboid spread over a large area or a very tall cuboid covering a very narrow area.

Answer 4

It depends on the shape of the container the liquid is in and the dimensions of the liquid mass. A mega-liter of water in the shape of a cube has a depth, length, and width of 10 meters.