When a figure is scaled how does that impact the volume of the new copy compared to the old one?

Question

When a figure is scaled how does that impact the volume of the new copy compared to the old one?

Answer 1

The answer depends on what you're scaling.  For example, if you have a sphere, which is given by the formula: V = 4/3 pi r^3, and you scale the radius then you're volume will increase proportionally to r^3, so if you double the radius the volume will increase 8 fold.

 

However, if you have a rectangular prism given by the formula V = length * width * height, and you scale the height, the volume will only increase proportionally to the height.

 

To answer a specific this for specific shape, right out the formula for the volume, and look at the exponent for what you're scaling.