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.
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.
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%.
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:
Block being a box: Height * Length * Depth = Volume Giving the three dimensions available.
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.
Polynomial
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%.
The volume of the box will be multiplied byeight.
If the other dimensions (length and height) are left unchanged, doubling the width will double the volume.
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:
For a box, the dimensions the define a volume would be:Height, Width, and DepthFor a cylinder, the dimensions that define a volume would be:Height and Diameter
That depends on the dimensions of the shoe box, now doesn't it? It's the product of the three dimensions.
Your dimensions are for a square. You need one more dimension for a box.
You can't tell the dimensions from the volume. There are an infinite number of different sets of dimensions that all have the same volume.
Any one dimension increased by 2, or any two dimensions increased by the square root of 2 orall three dimensions increased by the cube root of 2.
As long as the cubes are 1x1x1 then any box with an equivalent volume would hold the same number of cubes. The volume of the 3x4x10 box is 120. So a box with the dimensions 1x1x120 would work just as well as a box with the dimensions 12x10x1 or 2x5x12.
The dimensions of a Kleenex box are length, width and height. The volume of the box is equivalent to length times width times height.
Block being a box: Height * Length * Depth = Volume Giving the three dimensions available.