Answer
$27$
Work Step by Step
Divide the volume of the large cube with the volume of the small cube:
$\displaystyle \frac{7.506\times 10^{5}\ mm^{3}}{2.78\times 10^{4}\ mm^{3}} =\displaystyle \frac{7.506}{2.78}\cdot\frac{10^{5}}{10^{4}}\cdot\frac{mm^{3}}{mm^{3}}$
$\displaystyle \frac{7.506}{2.78}=2.7,\qquad $
$ \displaystyle \frac{10^{5}}{10^{4}}=10^{5-4}=$ ... dividing powers of the same base... $=10^{1}=10$
$... =2.7\times 10=27$
