Hey guys, I'm pretty confused with this. Can someone show me an example:
When you know the scale factor between two similar solids, the ratio of the volumes can be found by cubing that scale factor.

Question

Hey guys, I'm pretty confused with this. Can someone show me an example:
When you know the scale factor between two similar solids, the ratio of the volumes can be found by cubing that scale factor.

welshfella · Answer

suppose you have  2 cubes   whose sides are in the ratio 2 to 3 (that is a scale factor of 2) then their VOLUMES are in the ratio  2^3 : 3^3  or 8 : 27

welshfella · Answer

*  that is a scale factor of 3/2

alexatiger · Answer

So, if I know the side ratio, I can cube each of them and get the volume's ratio?

welshfella · Answer

A simpler  example would be  the sides in ratio 1 to  4 (scale factor 4) - then volumes would be in ratio 1^3 to 4^3   or 1 to 64.  The volume of large cube would be 64 times the volume of the small one.

welshfella · Answer

yes

alexatiger · Answer

I see! Thanks, that's a lot of help! B)

welshfella · Answer

yw

welshfella · Answer

if we are dealing with area  you square the scale factors.

alexatiger · Answer

If I'm looking for the area's ratio?

alexatiger · Answer

Okay!