If all the dimensions of a rectangular solid are increased by 2 times, what is the change in the volume of the shape?
+118608 If the dimensions of a solid double That is they (the lengths) are 2 times greater
then the surface area will increase by a factor of 2^2=4 That is it will be 4 times greater
and
the volume will increase by a factor of 2^3 =8. That is it will be 8 times greater.
This is a really handy thing to know
+118608 If the dimensions of a solid double That is they (the lengths) are 2 times greater
then the surface area will increase by a factor of 2^2=4 That is it will be 4 times greater
and
the volume will increase by a factor of 2^3 =8. That is it will be 8 times greater.
This is a really handy thing to know
+118608 I am just thinking here.
If we increase something by a factor of 1 this is meaningless. To a mathematician it means multiply by 1 so it stays the same and is not increased at all.
If you told a lay person in the street to increase the size of something by a factor of 1 they could either mistakenly add one unit to it or erroneously double the size. They could easily think that if it was 4 units long before and increase it by a factor of 1 that it must now be 8 units (what it was before plus one more of what it was before 1+1more) . Of course this is really increasing by a factor of 2 (1*2) but I can see how it could be very confusing.
