Question

how how many cubes of volume 125 cm cube can be obtained from a cube whose side is 10 cm​

Answer 1

cube is a solid box whose every surface is a square of same area.

Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure it is clear that 8 such cubes will fit in it. So the volume of the box will be equal to the volume of 8 unit cubes together.

Therefore, the volume of the cube = 8 cu Cm. Note that 8 = 2 x 2 x 2

Thus, volume of a cube = side x side x side = side³