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# Does the volume of a box double if the dimensions are doubled?

Wiki User

2010-04-07 17:55:30

No, it's not that simple. the volume of a box, if let us say (for simplicity's sake) it is cubical in shape, is the length cubed (or if it is rectangular, it is length x width x height). So let us say we have a cubical box 2' on an edge. Its volume is 2x2x2=8 cubic feet. Now let us say that we double the length of an edge. Now we have 4x4x4=64 cubic feet. It has eight times the volume of the smaller box. If we are dealing with a rectangular box rather than a cubical box, the calculations are more complicated, but it remains true that the volume grows much faster than the linear dimensions.

Wiki User

2010-04-07 17:55:30
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Abeeha Zanab

Lvl 2
2020-05-07 20:19:36

No it does not. This is not that simple. If you double one of the dimensions of the box, the volume will be twice as much as before. If you double two of the dimensions of the box, then the volume becomes 4 times as much as the original volume. If you double all three dimensions, the volume becomes 8 times as much. This is because of the fact that the volume is getting doubled again. You can see a pattern in this sequence. When you double one of the dimensions, the volume gets doubled. When you multiply two of the dimensions, it becomes 4 times as much since 2 x 2 = 4. Then, when you multiply all three of the dimensions, it becomes 8 times as much since 4 x 2 = 8.