Question

A cube of side 5 cm is painted on all its side. If it is sliced into 1 cubic centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

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Answer 1

Hi there
Here's the answer
The cube has 6 sides and as per given data, cube side= 5cm

The cube is sliced into 1cm cubes
•°• Each side has 25(5×5) one cubic cm cubes painted
The cubes that lie at edges or on sides will have painted its sides more than once as it is shared with adjoining sides
&only 9(3×3) one cubic cm cubes will have painted on one side
°•° Six sides exist, the no. of cubes painted only on one side= 54(6×9)

The answer is 54.

;)
hope it helps

Answer 2

Answer:

If we imagine one of the faces of a 5cm cube, we can easily say that each face would have (5×5)=25 cubes of side 1 cm.

Now, out of these, the boundary cubes on each face would have 2(boundary ones) or 3(corner ones) sides painted. So, on calculating, we have (3×3) =9 cubes on each face with exactly one side painted.

Hence, the answer is 9×6= 45cubes.

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