Question

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?

Answer 1

Answer: 128 cubes

Step-by-step explanation:The dimension of the rectangular prism is not given, assumed not important.

Find the volume of 1 cube:

Volume = 1/4 x 1/4 x 1/4

Volume = 1/64 units³

Find the number of cubes that can go into the prism:

Number of cubes = 2 ÷ 1/64

Number of cubes = 128