Question

A rectangular prism with a volume of 44 cubic units is filled with cubes with side lengths of 1/3 unit How many 1/3 unit cubes does it take to fill the prism?

Answer 1

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?

$\bf \left( \cfrac{1}{3} \right)^3\implies \cfrac{1^3}{3^3}\implies \cfrac{1}{27}\impliedby \textit{volume of the smaller cube} \\\\\\ 44\div \cfrac{1}{27}\implies \cfrac{44}{1}\div \cfrac{1}{27}\implies \cfrac{44}{1}\cdot \cfrac{27}{1}\implies 1188$

Answer 2

How the last person answer helped u