Check the picture below.
so the volume of the smaller cube will just be (1/3)³.
how many of those cubes will take to fill up the larger cube?
namely
how many times does (1/3)³ go into 44?
[tex]\bf \left( \cfrac{1}{3} \right)^3\implies \cfrac{1^3}{3^3}\implies \cfrac{1}{27}\impliedby \textit{volume of the smaller cube} \\\\\\ 44\div \cfrac{1}{27}\implies \cfrac{44}{1}\div \cfrac{1}{27}\implies \cfrac{44}{1}\cdot \cfrac{27}{1}\implies 1188[/tex]
