What is the new volume of a rectangular prism that is originally twelve cubic meters and is then resized using a scale factor of 4 on each side length?

Question

anonymous · Answer

HELP ME PLEASE ITS IMPORTANT!!!

anonymous · Answer

@bakonloverk @mebs @litchlani Do you guys know this? please help me!

ybarrap · Answer

Since this is a volume, scaling each side by a factor $a$, will increase its volume by a factor $\bf \large a^3$. 

Take the volume of a cube: 
$$\large \tt
V_{orig}=x\times y\times z\
\text{Let's scale each side by a factor a:}\
\large\hspace{10pt}V_{new}=ax\times ay\times az\
\large\hspace{10pt}V_new=a^3V_{orig}
$$
The factor you have is 4. So, how much more volume will your new prism have after scaling?

ybarrap · Answer

Your rectangular prism has a volume $depth\times width \times height$, similar to what I have above. Each dimension is similarly scaled by the factor, 4. So multiply the original volume by $\tt 4^3$.

anonymous · Answer

Oh my gosh! Thank you so much! @ybarrap

ybarrap · Answer

yw