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# How do you solve for width when all you have is the Volume of a rectangle?

Wiki User

2009-08-25 16:46:05

Best Answer

The question is not solvable.

Volume is a three-dimensional concept. Rectangles are two-dimensional

Width is a single dimension.

Assumption: Submitter used the word Volume, but meant Area

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To solve for Width of a Rectangle, given its Volume, you would need to know the Length of the Rectangle:

Area = Width x Height

so

Width = Area / Length

Assumption: Submitter used the word Rectangle, but meant Cube

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To solve for Length of the side of a Cube of given Volume (in units cubed):

Volume = Width x Height x Depth (which are all the same for a cube), so

Volume = (Width of a side)^3 (cubed)

so working from Volume to Width:

Width = Volume^-3 (read: The cube root of the Volume)

If another editor has a better means of entering the mathematical expressions, please have a go!)

Wiki User

2009-08-25 16:46:05
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