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A 5×5×5 wooden cube was painted and then sawed into 1×1×1 cubes. How many 1×1×1 cubes have exactly two faces painted?

Aug 7, 2020

#1
+21957
-1

The 1 x 1 x 1 cubes that have exactly two faces painted will be the edge pieces that aren't corner pieces.

There are 3 of these on each edge.

How many edges does a cube have?

Multiply that number by three to get the answer.

Aug 8, 2020
#2
+1154
+4

we have the 6 edges(not including corners) that have exactly two faces painted which means there is (5-2)6=3*6=18 sides that have exactly two faces painted so we have $$\boxed{18\text{ sides with exactly two faces painted}}$$

Aug 8, 2020