Question

The number of cubes of edge 4 cm that can be cut from a cube of edge 12 cm, is _________.

Answer 1

Let the edges of the bigger and smaller cubes be x cm and y cm, respectively.

Edge of the bigger cube, x = 12 cm

Edge of each smaller cube, y = 4 cm

∴ Number of smaller cubes that can be cut from the bigger cube

$=\frac{\mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{bigger}\mathrm{cube}}{\mathrm{Volume}\mathrm{of}\mathrm{each}\mathrm{smaller}\mathrm{cube}}$

$=\frac{12\mathrm{cm}\times 12\mathrm{cm}\times 12\mathrm{cm}}{4\mathrm{cm}\times 4\mathrm{cm}\times 4\mathrm{cm}}$ [Volume of cube = (Edge)³]

= 27

Thus, 27 smaller cubes of edge 4 cm that can be cut from a cube of edge 12 cm.

The number of cubes of edge 4 cm that can be cut from a cube of edge 12 cm, is ___27___.