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A cube is coloured red on all of its fac...

A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size The smaller cubes so obtained are now separated.
How many smaller cubes will have atleast two surfaces painted with red colour ?

A

4

B

18

C

32

D

24

Text Solution

Verified by Experts

The correct Answer is:
C
Number of smaller cubes with atleast two surfaces painted
= Number of cubes with three surfaces painted + Number of cubes with two surfaces painted
`= 8 + (n-2) xx12`
` = 8 + ( 4-2) xx 12 = 8 + 24 = 32`
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