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 __________
Solution:
The diagram below shows the number of cubes on one face that will have exactly two faces painted. As the diagram reveals that per face there are four cubes with exactly two faces painted.
Leaving the top and the bottom faces there are four faces left. Hence four cubes per four side faces means there are 16 cubes with exactly two faces painted.
✦ Try This: 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 one of their faces painted is __________.
The diagram below shows the number of cubes per face having only one face painted.
As we can see that are exactly four cubes per face having one face painted. Since there are six faces including the top and bottom faces we have 6 × 4 = 24 cubes.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 29
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 __________
Summary:
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 16
☛ Related Questions:
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