Question

A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit.

How many 1/4
unit cubes does it take to fill the prism?

Answer 1

192 cubes are needed to fill the prism

Explanation:

To solve this problem we first have to calculate the volume of the cube

1/4 units= 0.25 units

To calculate the volume of a cube we have to use the following formula:

v = volume

s = side = 0.25 u

v = s * s * s

we replace the values that ​​we know

v = 0.25 u * 0.25 u * 0.25 u

v = 0.015625 u³

The volume of the cube prism is 0.015625 u³

Now we have to divide the volume of the prism by the volume of the cubes

3 u³ / 0.015625 u³ = 192

192 cubes are needed to fill the prism