Answer:
The sides of the original rectangular prism have been increased by a scale factor of 4
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x---> volume of the increased rectangular prism
y---> volume of the original rectangular prism
[tex]z^{3}=\frac{x}{y}[/tex]
substitute
[tex]z^{3}=\frac{3,456}{54}=64[/tex]
[tex]z=4[/tex] -----> the scale factor
therefore
The sides of the original rectangular prism have been increased by a scale factor of 4
