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

Answer 1

Answer:

54

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

Explanation:

There are six sides of the cube and as side of cube is

5

cm and hence each side will have

5

×

5

=

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

3

×

3

=

9

one cubic centimeter cubes will have one side painted.

As there are six sides,

9

×

6

=

54

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