A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2
unit.
How many 1/2 unit cubes does it take to fill the prism?

48 cubes are needed to fill the prism

Step-by-step explanation:

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

1/2 units= 0.5 units

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

v = volume

s = side = 0.5 u

v = s * s * s

we replace the values that we know        

v = 0.5 u * 0.5 u * 0.5 u

v = 0.125 u³

The volume of the cube prism is 0.125 u³

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

6 u³  / 0.125 u³  = 48

48 cubes are needed to fill the prism