How many cubes of 20 cm edge can be put in a cubical box of 1 m edge?

Sure, let's solve this step by step:

Step 1: Convert the measurements to the same units. In this case, we'll convert 1 meter to centimeters since the smaller cube's edge is given in centimeters. 1 meter = 100 centimeters.

Step 2: Calculate the volume of the larger cube (the box). The volume of a cube is calculated by cubing the length of one edge. So, the volume of the box is 100 cm * 100 cm * 100 cm = 1,000,000 cubic cm.

Step 3: Calculate the volume of the smaller cube. The volume of the smaller cube is 20 cm * 20 cm * 20 cm = 8,000 cubic cm.

Step 4: Divide the volume of the larger cube by the volume of the smaller cube to find out how many smaller cubes can fit inside the larger cube. So, 1,000,000 cubic cm / 8,000 cubic cm = 125.

Therefore, 125 cubes of 20 cm edge can be put in a cubical box of 1 m edge.