C4 HELP

Because there is a volume scale factor. The original to the object has a scale factor of 4 and so areas would go up by 16 and volumes by 64

how comes it goes to 64? is there a rule or something

you square the length scale factor to get the area scale factor

you cube the length scale factor to get the volume scale factor

you square the length scale factor to get the area scale factor

you cube the length scale factor to get the volume scale factor

If you scale a thing by a ration a:b then areas go up by a scale of a^2:b^2 and volumes by a^3:b^3

So, for example if I scale a 1,1,1 cube by a ration 1:3. The side length goes from 1,1,1 to 3,3,3. Each face area from 1x1=1 to 3x3=9 (i.e 3^2) so 6 faces go from 6x1 to 6x9=54 which is still a area ratio of 1:9 and the volume from 1x1x1=1 to 3x3x3=27 (i.e 3^3).

Is that clearer?

thanks !