A hollow cube of size 5cm is taken, with the thickness of 1cm. It is made of smaller cubes of size 1cm .If the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted?
Answers
Answer:
108
Step-by-step explanation:
A hollow cube of size 5cm is taken, with the thickness of 1cm. It is made of smaller cubes of size 1cm .If the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted?
Hollow cube 5 * 5 * 5
Assuming thickness internal
thickness = 1cm would be each side
5 - 1 - 1 = 3
so available size = 3 * 3 * 3
Total 1 * 1 * 1 size 27 cubes will be there
A cube has 6 faces
so total faces of 1 * 1 * 1 size cubes = 27 * 6 = 162
Faces on outer side of Large cubes = 9 * 6 = 54
faces of the smaller cubes remain unpainted = 162 - 54
= 108
Answer:
Total number of cubes required to make a Hollow Cube = (5*5*5) - (3*3*3) = 98
Total Number of faces of 98 cubes = 98*6 = 588
Number of outer faces of big cube that is painted = 5*5*4 = 100
Number of Unpainted faces = 588-100 = 488
Step-by-step explanation:
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