Question

if delta l = alpha * lo * delta T
and delta V = beta * Vo * delta T
how does beta relate to alpha when l is length and V is volume of a cube
Please, help

Answer 1

is beta = alpha ^3? @ganeshie8

Answer 2

is Vo = lo^3 ?

Answer 3

yes

Answer 4

if delta l = alpha * lo * delta T
and delta V = beta * Vo * delta T
Vo = lo^3

so,

beta*deltaT = (alpha*delta)^3
beta = alpha^3*deltaT^2

Answer 5

yes, I think so, too.

Answer 6

change in L must produce change in volume of (deltaL)^3
hmm... i may not be understanding the question correctly though..

whats deltaT ?

Answer 7

It's from Physics, delta T is the change of temperature

Answer 8

The question is about the expansion coefficient of the object linearly depend on length and volume. (extra question)

Answer 9

However, I think by algebraic way, we can find out the link between them like what you did. Thanks a lot. Master

Answer 10

lol okay hope the cube stays as cube after expansion also :)