The volume of a prism changes from 20 to 540 after a dilation. what was the scale factor of the dilation?

The scale factor is 3 : 1.

Step-by-step explanation:

We know that,

The scale factor of the dilation of a prism is the cube root of the ratio of the volume of resultant prism after dilation and the volume of the given prism,

Here, the volume of prism before dilation = 20 cube unit,

And, the volume of the prism after dilation = 540 cube unit,

Thus, by the above statement,

Hence, the scale factor is 3 : 1.

thats not a system of equations, that is a solution