Question

A cube of side 4 cm is painted on all of its faces. If it is sliced into 1 cubic centimeter cubes, then number of 1 cubic centimeter cubes will have exactly their three faces painted is​

Answer 1

Answer :24

Step By Step Explanation :

Given that, the cube side is 4 cm, then the volume of cube is 43 = 64 cm3 When it is sliced into 1 cubic cm, we will get 64 small cubes In each side of the larger cube, the smaller cubes in the edges should have more than one face painted. Therefore, the cube which are located at the corner of the larger cube, have three faces painted. Hence, in each edge two small cubes are left, in which two faces painted. It is known that the total numbers of edges in a cubes = 12. Thus, the number of small cubes with two faces painted = 12 × 2 = 24 small cubes.