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?

Answer 1

#54# one cubic centimeter cubes will have exactly one of their sides painted.

There are six sides of the cube and as side of cube is #5# cm and hence each side will have #5xx5=25# one cubic centimeter cubes painted.

However, all the cubes on sides and corners will have painted sides more than one as they share with adjoining sides and only #3xx3=9# one cubic centimeter cubes will have one side painted.

As there are six sides, #9xx6=54# one cubic centimeter cubes will have exactly one of their sides painted.

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Answer 2

Luna Angel

If a cube of side 5 cm is painted on all its sides and then sliced into 1 cubic centimeter cubes, there will be 54 cubes with exactly one of their sides painted.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.