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22 Mar 2019, 01:18
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B
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Difficulty:
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Question Stats:
44% (02:11) correct
56%
(02:17)
wrong
based on 34
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A wooden cube n units on a side is painted red on all six faces and then cut into n^3 unit cubes. Exactly one-fourth of the total number of faces of the unit cubes are red. What is n?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
22 Mar 2019, 03:10
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Total no of faces painted by red of unit cube =6n^2
Total no of faces of n^3 unit cubes =6n^3
Now atq,Exactly one-fourth of the total number of faces of the unit cubes are red
Which means
6n^2=1/4(6n^3)
Solving we get n =4
Posted from my mobile device
Total no of faces of n^3 unit cubes =6n^3
Now atq,Exactly one-fourth of the total number of faces of the unit cubes are red
Which means
6n^2=1/4(6n^3)
Solving we get n =4
Posted from my mobile device
22 Mar 2019, 03:12
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Bunuel
Visualization is the key..
When you are making n^3 cubes out of a cube with n units, means the side of smaller cube is 1 unit as volume of bigger cube is n*n*n=n^3....just for information
Total faces painted red is equal to surface area of bigger cube =6*(n*n)=6n^2.
Number of faces of n^3 cube is 6*n^3..
It is given that (6n^2/6n^3)=(1/4)...n=4
B
