How many cubes with side lengths of 1/3 cm does it take to fill the prism?

length 1 cm, width 2 2/3, height 2/3

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 = cm

The height of prism (h) = cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³   cm³

Or,  Volume of cube with length (l) =  cm³

Or,  Volume of cube with length (l) =  cm³

Again , Volume of prism  =

Or, Volume of prism =

Or, Volume of prism =  cm³

So , The number of cubes to fill prism  

 The number of cubes × Volume of cube = Volume of prism

Or, x ×  cm³ =  cm³

or   x = = 24

Hence The number of cubes which fill the prism is 24  Answer

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