If all the dimensions of a cube are doubled, then the new volume is ____ times greater.

Question

ganeshie8 · Answer

volume = s^3

if you double the side,

new volume = (2s)^3
                  = 2^3 x s^3

ganeshie8 · Answer

figured out how many times ?

anonymous · Answer

No

whpalmer4 · Answer

Think of plugging the scale factor for each dimension into the formula.  The formula for the volume of a cube is V = l*w*h, right?  Well, if you double each of the dimensions, your new V = 2*2*2 * the old V, or 8x.  

Similarly, say you have a rectangle, and you make it 3x as long and 2x as wide.  Area of the rectangle is A = l*w, so the new rectangle is 3*2* the old A, or 6x.

Make sense?

whpalmer4 · Answer

The example I personally find most valuable is for the area of the circle.  The area of the circle is $A = \pi r^2$.  If you double the radius of the pizza, the new pizza has (2)^2 = 4 the area of the old pizza, and that way there ought to be enough for me :-)