How many cubes have 3 blue faces?

Geometry Level 1

A wood of block measuring 5 in. by 6 in. by 7 in. is painted blue. It is then completely cut to cubes which measure 1 in. on an edge. How many cubes have 3 blue faces?

4 8 10 6

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3 solutions

Mahdi Raza
Jun 12, 2020

Only corner cubes will have 3 blue faces. There are 8 such corners in a cuboid with any dimension. So regardless of that, the answer will always be 8 \boxed{8}

Chew-Seong Cheong
Apr 16, 2018

Only the cubes at the corner has 3 blue faces and there are 8 \boxed{8} corner cubes.

X X
Apr 16, 2018

The eight corners

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