This box can be packed with 48 unit cubes the unit cube is 1 meter what the volume of the box

There may be more than one correct answer here.

Note that 48 cubic units is equivalent to (6 units)(8 units)(1 unit).  Can you think of any other 3 dimensions whose product is 48 cubic units?

Check the picture below.

so, each of the 48 unit cubes, have a volume of that much.

there are 48 of those cubes in the larger cube, so the volume of the larger cube is 48 * 1³.