Question

A cube has all its faces painted with different colours. It is cut into smaller cubes of equal sizes such that the side of the small cube is one-fourth the big cube. The number of small cubes with only one of the sides painted is:

Answer 1

Answer with explanation:

Let length of side of cube = a cm

Volume of cube =a³ cm³

Now,the bigger cube is cut into smaller cubes of side one-fourth the big cube.

Side of Smaller cube  $=\frac{a}{4}$

Volume of Smaller cube  $=(\frac{a}{4})^3=\frac{a^3*cm^3}{64}$

Number of small cubes with only one of the sides painted is

$=\frac{\text{Volume of Bigger cube}}{\text{Volume of Smaller cube}}\\\\=\frac{a^3}{\frac{a^3}{64}}\\\\=64$

Answer 2

Answer:

24

Step-by-step explanation: