A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction unit. How many \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?
Accepted Solution
A:
the correct question is A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many cubes does it take to fill the prism?
we know that [volume of the cube]=b³ b=1/4 unit [volume of the cube]=(1/4)³------> 1/64 unit³
if 1 cube has a volume of ----------------> (1/64) unit³ x cubes--------------------------------> 2 unit³ x=2/(1/64)-----> x=2*64----> x=128 cubes