Lin's teacher uses the box to store her set of cubes with an edge length of one half inch. if the box is completely full, how many cubes are in the set?

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