Instructions

Answer the following questions based on the information given below.

I. There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
II. The two opposite surfaces of 4 cm × 3 cm are painted yellow on the outside.
III. The other two opposite surfaces of 4 cm × 3 cm are painted red on the outside.
IV. The remaining two surfaces of 3 cm × 3 cm are painted green on the outside.
V. Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

Question 42

How many cubes will have only one colour?

Solution
125431

Here, we have 8 corner cubes will have 3 side painted, 16 middle cubes
of each edge will have 2 sides painted, 10 middle cubes of each face
(not touching any edge) will have 1 side painted and rest will have no
side painted.


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