Respuesta :

A cube has six faces so 48/6 is the length of one edge.
Volume of a cube is length times breadth times height
so 48/6= 8
A cube has equal length of sides
So 8x8x8= 512cm^3

Answer:

[tex]48m^{3}[/tex]

Step-by-step explanation:

Total number of unit cubes in box = [tex]48[/tex]

Length of each unit cube [tex](a)[/tex]= [tex]1[/tex] meter

volume of a cube = [tex](length)^{3}[/tex]

volume of one cube unit = [tex]a^{3}[/tex]

volume of one cube unit = [tex]1^{3}[/tex]

volume of one cube unit = [tex]1 m^{3}[/tex]\

volume of [tex]48[/tex] unit cubes = [tex]1*48 = 48m^{3}[/tex]

∴ volume of box = [tex]1*48 = 48m^{3}[/tex]