Answer :

Answer:

448 cubes

Step-by-step explanation:

Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.

Since, volume of a cube = (Side)³

Side of the cube = [tex]\frac{1}{2}[/tex] inch

Therefore, volume of the cube = [tex](\frac{1}{2})^3=\frac{1}{8}[/tex] inches

Volume of the storage box = 56 cubic inches

Since, number of cubes fitted in the storage box = [tex]\frac{\text{Volume of the storage box}}{\text{Volume of one cube}}[/tex]

                                                                                 = [tex]\frac{56}{\frac{1}{8}}[/tex]

                                                                                 = 56 × 8

                                                                                 = 448 cubes

Therefore, number of cubes fitted in the storage box = 448

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