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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.
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CoachNo 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.
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A cardboard box has a length of 3 feet height of 2½ feet and depth of 2 feet If the length and depth are doubled by what percent does the volume of the box change?
A 3-Dimensional box's volume will double for each dimension that is doubled. i.e. if just the height, length or depth are doubled, the volume increases 200%, if 2 of those dimensions are doubled the volume increases by 400%. if all 3 are double the volume increases by 800%.
A cardboard box has a length of 3 feet height of 2 feet and depth of 2 feet If the length and depth are doubled by what percent does the volume of the box change?
300% The volume of the original box is ?. The volume of the box with the length and depth doubled is ?. The amount of change in volume is 60 - 15 = 45. The percent change is the amount of change in volume divided by the original volume:
How do you calculate the volume of a block?
Block being a box: Height * Length * Depth = Volume Giving the three dimensions available.
A cube box is 2 by 3 by 5 What is double the size?
The box is cuboid, not cube: a cube box would be the same length in all dimensions. "Double the size" is an ambigous phrase. Doubling all three measures, to a box of 4 by 6 by 10 would increase its volume 8-fold. Simply doubling its volume could be achieved by doubling any one of the three lengths to 4 by 3 by 5, or 2 by 6 by 5 or 2 by 3 by 10. Furthermore, the volume could be doubled by halving one length and quadrupling another, etc. There are an infinite nimber of possibilities. Doubling the volume while maintaining the relative proportions would require increasing each side by a factor of cuberoot(2) or 1.26.
What type of functions would you use to represent the volume of a box whose dimensions are changing by x?
Polynomial
