Question

How many small cubes have no faces coloured ?

• A. 24
• B. 8
• C. 16
• D. 0

Answer 1

The correct option is B 8

There are 64 small cubes.
Hence one side of the big cube $=\sqrt[3]{364}=4cm$.
Number of small cubes having only one faces coloured = ${(x-2)}^3$
Here, x = side of big cube / side of small cube
x = 4/1
x = 4
Required number = ${(4-2)}^3$
= 8