Question

If the sides of a cube are multiplied by 4, the volume of the cube is doubled or multiplied by what?

Answer 1

volume of cube = side x side x side
Lets say the side = 1, volume = 1 x 1 x1 = 1
if we multiply by 4, side = 4, volume = 4 x 4 x 4 = 64
Multiplied by 64.

Answer 2

Now Hippocrates reduced the problem to the following:

(ii) Given two lines, find two mean proportionals between them.

i.e. given lines a, b find x, y such that a : x = x : y = y : b.

Answer 3

okay thanks

Answer 4

:)