Respuesta :

the volume of a cube is S^3

volume of a cube with S = 1/2 = 1/2^3 = 0.125 cubic units each

 there are 44 cubes so 44 x 0.125 = 5.5 cubic units total

 the prism has a volume of 5.5 cubic units


Answer:

volume of a prism is  5.5 cubic unit.

Step-by-step explanation:

Given : We have given A prism is filled with 44 cubes with 1/2 units side lengths.

To find : Volume of prism .

Solution : We have 44 cubes and side of a cube is 1/2 units.

We need to find volume of prism .

Volume of a cube = ( side)³.

Volume of a cube = ([tex]\frac{1}{2}[/tex])³.

                             = [tex]\frac{1}{8}[/tex] cubic unit.

So, volume of 44 cubes = 44 × [tex]\frac{1}{8}[/tex].

                                                    = 5.5 cubic unit.

Therefore, volume of a prism is  5.5 cubic unit.