How many smaller cubes will have only two faces colored?
(a)
12
(b)
24
(c)
16
(d)
12
Answer: Option
B
Explanation :
Exactly two faces colored will come from edges.
4 edges of blue and red with 3 cubes from each edge, i.e., total 4 × 3 = 12 cubes.
4 edges of red and yellow with 1 cube from each edge, i.e., total 4 × 1 = 4 cubes.
4 edges of yellow and blue with 2 cubes from each edge, i.e., total 4 × 2 = 8 cubes.
∴ Total = 12 + 4 + 8 = 24 cubes will have exactly two faces colored.
How many small cubes will have only one face colored?
(a)
20
(b)
22
(c)
24
(d)
28
Answer: Option
B
Explanation :
2 blue faces will give 6 such cubes each i.e., 12 cubes.
2 red faces will give 3 such cubes each i.e., 6 cubes.
2 yellow faces will give 2 such cubes each i.e., 4 cubes.
∴ Total 12 + 6 + 4 = 22 cubes will have exactly one face colored.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing
us your valuable feedback about Apti4All and how it can be improved.
Solution
Discuss
Report