Tom has some cubes that are 2 cm. on each side. How many of them will fit into a box that is a cube with each side 4 cm. long?

4*4=16

2*2=4
16/4=4

find the volume of each cube!

4^3=?
2^3=?

(4^3)/(2^3)=?

To determine how many smaller cubes will fit into the larger cube, you need to calculate the volume of each cube and then divide the volume of the larger cube by the volume of the smaller cube.

The volume of a cube can be calculated by cubing the length of one of its sides. So for the smaller cube with sides measuring 2 cm, the volume would be (2 cm)³ = 8 cm³.

To find out how many of the small cubes will fit into the larger cube, we divide the volume of the larger cube by the volume of the smaller cube.

The volume of the larger cube can be calculated by cubing the length of one of its sides. So for the larger cube with sides measuring 4 cm, the volume would be (4 cm)³ = 64 cm³.

Now, divide the volume of the larger cube by the volume of the smaller cube:
64 cm³ / 8 cm³ = 8

Hence, you can fit 8 smaller cubes, each with sides measuring 2 cm, into the larger cube with sides measuring 4 cm.