How much is the volume of half of a cube, the edge of which is 4 cm greater than the volume

How much is the volume of half of a cube, the edge of which is 4 cm greater than the volume of the cube, the edge of which is 2 cm …

Determine the volume of a cube, with an edge 4 cm long – raise this edge length to the third power:

43 = 64 cm3

Now let’s find half the volume of such a cube:

64: 32 = 32 cm3 half the volume of the larger cube.

Now let’s determine the volume of a cube with an edge 2 cm long:

23 = 8 cm3

Now let’s compare these volumes – let’s divide half of the volume of the larger cube by the volume of the smaller one:

32: 8 = 4 times

Answer: Half the volume of the larger cube is 4 times the volume of the smaller cube.