Cubes
 Find the minimum number of cuts required to get 50 pieces.

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For minimum number of cuts we will get 50 from 2 x 5 x 5 and cuts is 1 + 4 + 4 = 9
Correct Option: C
For minimum number of cuts we will get 50 from 2 x 5 x 5 and cuts is 1 + 4 + 4 = 9
Direction: 216 cubes of similar size are arranged in the form of the bigger cube (6 cubes on each side, i.e.., 6 x 6 x 6) all the exposed surfaces are painted.
 How many of the cubes have 0 faces painted?

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Since total number of cubes is hence in the formula we will substitute n = 6
Number of the cubes with 0 faces painted is (6  2)^{3} = 4^{3} = 64Correct Option: A
Since total number of cubes is hence in the formula we will substitute n = 6
Number of the cubes with 0 faces painted is (6  2)^{3} = 4^{3} = 64
 How many of the cubes have 2 most faces painted?

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Since total number of cubes is hence in the formula we will substitute n = 6
Number of the cubes with 2 faces painted is 6(6  2)^{2}
= 6 x 16 = 96Correct Option: C
Since total number of cubes is hence in the formula we will substitute n = 6
Number of the cubes with 2 faces painted is 6(6  2)^{2}
= 6 x 16 = 96
 How many of the cubes have at most faces painted?

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Since total number of cubes is hence in the formula we will substitute n = 6
At most 2 faces painted means number of cubes with 0 face painted + number of cubes with 1 face painted + number of cubes
with 2 face painted = 64 + 48 + 96 = 208Correct Option: A
Since total number of cubes is hence in the formula we will substitute n = 6
At most 2 faces painted means number of cubes with 0 face painted + number of cubes with 1 face painted + number of cubes with 2 face painted = 64 + 48 + 96 = 208
 How many of the cubes have at least 2 faces painted?

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Since total number of cubes is hence in the formula we will substitute n = 6
At least 2 faces painted means number of cubes with 2 face painted + number of cubes with 3 face painted = 96 + 8 = 104.Correct Option: B
Since total number of cubes is hence in the formula we will substitute n = 6
At least 2 faces painted means number of cubes with 2 face painted + number of cubes with 3 face painted = 96 + 8 = 104.