one cube of side length 3cm is painted by three colour say (red blue and black) opposte face same colour Now cube is cut into 27 small cube i)How many cube has three face coloured ii)How many cube two face coloured iii)How many cube has no colour in its face


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Question Number 119463 by TANMAY PANACEA last updated on 24/Oct/20

$o n e c u b e o f s i d e l e n g t h 3 c m i s p a i n t e d b y t h r e e c o l o u r$ $s a y (r e d b l u e a n d b l a c k) o p p o s t e f a c e s a m e c o l o u r$ $N o w c u b e i s c u t i n t o 27 s m a l l c u b e$ $i) H o w m a n y c u b e h a s t h r e e f a c e c o l o u r e d$ $i i) H o w m a n y c u b e t w o f a c e c o l o u r e d$ $i i i) H o w m a n y c u b e h a s n o c o l o u r i n i t s f a c e$
Commented by TANMAY PANACEA last updated on 25/Oct/20

Commented by TANMAY PANACEA last updated on 25/Oct/20

$1) t h r e e f a c e c o l o u r e d = 8 (c u b e a t c o r n e r)$ $2) s e e t o p m o s t l a y e r a n d b o t t o m m o s t l a y e r$ $4 \times 2 = 8 c u b e t w o f a c e c o l o u r e d .$ $m i d d l e l a y e r 4 c u b e o f c o r n e r$ $s o t o t a l = 8 + 4 = 12$ $3) s e e t o p m o s t a n d b o t t o m m o s t f a c e c e n t r e d c u b e$ $o n e f a c e c o l o u r e d a n d m i d d l e l a y e r 4 c u b e$ $= 2 + 4 = 6 c u b e o n e f a c e c o l o u r e d$ $4) n o f a c e c o l o u r e d = 1 c u b e$ $s o$ $t h r e e (o 3) f a c e c o l o u r e d = 8$ $t w o f a c e c o l o u r e d = 12$ $o n e f a c e c o l o u r e d = 6$ $n o f a c e c o l o u r e d = 1$ $8 + 12 + 6 + 1 = 27$
	Answered by som(math1967) last updated on 25/Oct/20

	$i) 8 cubes$ $ii) 8 cubes$ $iii) 1 cube$
	Commented by som(math1967) last updated on 25/Oct/20

	$Thik bollam ?$
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