Answer :
To find the volume of the new cube, you will consider that for each dimension you will multiply the dimension by 5 for the scale factor. In this case there are 3 dimensions that you will apply the scale factor of 5 to. That means 75 will be multiplied by 5, by 5, and by 5 again. The new volume will be 9375 cm^3.
we know that
in volume
[the scale factor]=∛{[dilated volume]/[initial volume]}
then
[the scale factor]³=[dilated volume]/[initial volume]
[dilated volume]=[initial volume]*[the scale factor]³
[dilated volume]=[75]*[5]³-------> 75*125-------> 9375 cm³
the answer is 9375 cm³
in volume
[the scale factor]=∛{[dilated volume]/[initial volume]}
then
[the scale factor]³=[dilated volume]/[initial volume]
[dilated volume]=[initial volume]*[the scale factor]³
[dilated volume]=[75]*[5]³-------> 75*125-------> 9375 cm³
the answer is 9375 cm³