Answer :
[tex]8[/tex]
1) We need to get some measures to this crate so that we can get to know the answer.
2) Consider a crate like a rectangular prism, with the following measures:
[tex]\begin{gathered} width=4 \\ height=6 \\ length=8 \end{gathered}[/tex]So now, let's apply to these measurements the proposed transformations:
This would yield the following:
[tex]\begin{gathered} w_2=8 \\ h_2=12 \\ l_2=16 \end{gathered}[/tex]3) Finally, the volume of a rectangular prism is given by the product of their dimensions, so let's compare both:
[tex]\begin{gathered} V_1=4\cdot6\cdot8,\:V_1=192u³ \\ V_2=8\cdot12\cdot16,V_2=1536u³ \\ \\ \frac{1536}{192}=8 \end{gathered}[/tex]Therefore by dividing the augmented volume by the original one we can tell the answer is:
[tex]8[/tex]Because 2³=8