The quick way to dispute something like this is to simply do the calculation and then create a ratio.
Cube One (Large Cube) The formula for a cube is V = e^3 e = the measurement of an edge. In this case. e = 10 cm V = e^3 V = 10^3 = 10*10*10 V = 1000 cm^3
Cube 2 (Small Cube) V = e^3 e = 5 cm V = 5*5*5 V = 125 cm^3 Ratio Large Cube / Small Cube = 1000 / 125 = 8/1.
The difference in size is 8 to 1 not 2 to 1. Explanation He's right if he sticks to one side. The ratio of one side of the large cube to the small one is 2 to 1. But once you put that into the formula for volume, three sides are multiplied together and that 2 shows up everytime you multiply the sides together.
