Fill in the blanks to make the statement true.A cube of side 4 cm is

1.	Fill in the blanks to make the statement true.A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is __________.
Answer» 24 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.

Fill in the blanks to make the statement true.A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is __________.

Answer»

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.

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