How many cubes with an edge of 1 cm will fit in a box with long edges 4 cm 8 cm and 6 cm. What is the volume of the box?

This task illustrates the concept of volume. A box, mathematically, is a rectangular parallelepiped. We calculate its volume by the formula:

V = a * b * c, where a, b, c is the length of the ribs.

In our case, they are 4, 8, 6 cm, respectively. Let’s calculate the volume:

V = 4 * 8 * 6 = 192 cm³ – the volume of the box.

Now consider a cube with an edge of 1 cm. Its volume is 1 * 1 * 1 = 1 cm³. Dividing the volume of the box by the volume of the cube, we find out the number of cubes in the box:

192: 1 = 192 pcs.

Answer: 192 pieces will fit; volume 192 cm³.