Question

A rectangular prism with a volume of

3
33 cubic units is filled with cubes with side lengths of
1
4
4
1
​
start fraction, 1, divided by, 4, end fraction unit.
How many
1
4
4
1
​
start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?

Answer 1

192 unit cubes is the answer

Answer 2

192 unit cubes.
Explanation:
Let n represent number of cubes with each side 1/4 unit.
We have been given that a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. We are asked to find the number of cubes that will fill that prism.
First of all, we will find volume of each cube.




The volume of rectangular prism will be equal to volume of n cubes.





Therefore, it will take 192 unit cubes to fill the prism.