Final answer:
The number of sugar cubes that can fit in the box is 40.
Step-by-step explanation:
The volume of the box can be found by multiplying its length, width, and height:
Volume = Length x Width x Height
Volume = 5 cm x 2 cm x 4 cm
Volume = 40 cm³
Since each sugar cube has sides of length 1 cm, the volume of one sugar cube is:
Volume of one sugar cube = 1 cm x 1 cm x 1 cm = 1 cm³
To find the number of sugar cubes that can fit in the box, divide the volume of the box by the volume of one sugar cube:
Number of sugar cubes = Volume of the box / Volume of one sugar cube
Number of sugar cubes = 40 cm³ / 1 cm³
Number of sugar cubes = 40