a box with the dimensions 2 x 3 x 4 is melted and this melted solution is poured into a box with a base dimensions of 3m x 2m. Find the height of the cube

the height is x

you have:

L-length

W-width

H-height

V=L*W*H

their volumes are same and you know L W H of the first one and L W of the second one

L1*W1*H1=L2*W2*H2

$2*3*4=3*2*H$

H=4

V=L*W*H

you have:

a box with the dimensions 2 x 3 x 4 is melted and this melted solution is poured into a box with a base dimensions of 3 m x 2 m. Find the height of the cube filled with solution.

so theit volume is the same 

V1=V2

$2*3*4=3*2*x$

$x=4$

how do u find the height?

It is a silly question the 2 boxes are the same and neither of them is a cube but yest your answer is good Solveit  :)