Pocket full of Imagination

Geometry Level 3

I had a red cube like this I took 26 26 more such cube(red from all sides) and joined them to form a bigger cube ( 3 × 3 × 3 = 27 ) r e d c u b e s (3×3×3=27) red cubes . And painted it blue from all of its six sides from the outside, like this. Now , I took 26 26 more such cubes (with each cube having ( 3 × 3 × 3 3×3×3 ) red cubes painted blue from outside), and joined them to form a much bigger cube ( 9 × 9 × 9 = 729 c u b e s ) (9×9×9=729 cubes) and painted it Green from all its six sides from the outside like this:

How many smaller cubes t h e the o n e one t h a t that I I h a d had a t at t h e the s t a r t i n g starting are painted blue on 1 1 side Green on 2 2 sides and red on the other 3 3 sides?


This is Fifth problem of the set Just Imagine


The answer is 48.

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