The volume of the box is 48 m^3
Step-by-step explanation:
Let V_u be the volume of unit cube with side b
So,
[tex]V_u = b^3\\V_u = 1^3\\V_u = 1\ m^3[/tex]
As it is given that the box can be packed with 48 unit cubes which means that 48 unit cubes will ft in the box.
The induces that the volume of 48 unit cubes will be the volume of the box.
Let V_b be the volume of the box
So
[tex]V_b = 48V_u\\V_b = 48 * 1\\V_b = 48\ m^3[/tex]
Hence,
The volume of the box is 48 m^3
Keywords: Volume, units
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