How many 1cm cubes 3 will fit inside a box measuring 4cm on each side?

To determine how many 1 cm cubes will fit inside a box measuring 4 cm on each side, calculate the volume of the box and the volume of a single cube. The volume of the box is (4 \times 4 \times 4 = 64) cubic centimeters, and the volume of a 1 cm cube is (1 \times 1 \times 1 = 1) cubic centimeter. Therefore, the number of 1 cm cubes that can fit inside the box is (64 / 1 = 64). Thus, 64 cubes will fit inside the box.