Question

How many cubes with side lengths of 1/3 does it take to fill the prism?

Answer 1

Answer:

180 cubes

Step-by-step explanation:

little cubes:

$v=(\frac{1}{3} )^{3} =\frac{1}{27}$

The prism:

$v=(\frac{5}{3})(\frac{4}{3} )(2)=\frac{40}{9} =\frac{20}{3}$

the number of cubes that fill the prism:

$cubes=\frac{\frac{20}{3} }{\frac{1}{27} } =\frac{(20)(27)}{(3)(1)}= \frac{540}{3} =180$

Hope this helps