Question

If all the dimensions of a one litre bottle are doubled, what will be the volume of the new bottle?

Answer 1

Answer:

If you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8)

Answer 2

Answer:

Consider as an example a box of length L, width W, and height H.

V = LWH

Now double each dimension and get

V' = (2L)(2W)(2H) = 23LWH = 23V