CRACK REASONING- CUBE & CUBOID CUTTING –IMPORTANT FORMULA TABLE TO SOLVE REASONING BASED ON CUBE & CUBOID- www.sschub.com


CUBE & CUBOID CUTTING in Reasoning section are mandatory part covers 5-15 questions of SSC IBPS or other competitive exams. Such questions are very easy to solve within 3-5 seconds by using IMPORTANT FORMULA TABLE.

IMPORTANT FORMULA TABLE to solve not only provides accurate solution but also helps in achieving maximum score in any competitive exam.

Aspirants are recommended to use IMPORTANT FORMULAE TABLE to solve CUBE & CUBOID CUTTING in Reasoning section to get maximum score in exam.

IMPORTANT FORMULAE FOR CUBE & CUBOID CUTTING:

Let the statement is given as follows:
A cube has ‘N’ cm side painted with red color on the faces. Now it is cut into small cubes of ‘n’ cm side.
Read the statement carefully line by line and solve the question by using IMPORTANT FORMULAE provided in below Table.

S. No.
NO. OF QUESTIONS
IMPORTANT FORMULA TABLE
1
No. of Small Cubes cut from Big Cube
(N / n)3
2
Total Small Cubes Which have only NO FACE PAINTED
[(N/n) – 2]3
3
Total Small Cubes Which have only ONE FACE PAINTED
[Count on One Face x 6] / 1
4
Total Small Cubes Which have only TWO FACES PAINTED
[Count on Two Face x 6] / 2
5
Total Small Cubes Which have only THREE FACES PAINTED
[Count on Three Face x 6] / 3
            Count the faces after cutting for face one, two or three- See example for clarity.

Question 1:
A cube has ‘5’ cm side painted with red color on the faces. Now it is cut into small cubes of ‘1’ cm side. Answers the following:
1.      How many small cubes cut from the big cube?
2.      How many small cubes which have NO face painted?
3.      How many total small cubes whose have only one face painted?
4.      How many small cubes which have only two faces painted?
5.      How many small cubes which have only three faces painted?
6.      How many small cubes which have at least one face painted?
7.      How many small cubes which have at most two faces painted?

Solution:
From the above statement,       N = 5   &         n = 1
Now cut the one face of cube, it will appear same as shown in Figure 1 (above).
Then Count on the face for ONE, TWO & THREE same as shown in Figure 2 (above).

Use the FORMULA Table for Solution:
S. No.
QUESTIONS
IMPORTANT FORMULA TABLE
1
No. of Small Cubes cut from Big Cube
(5 / 1)3 = 125
2
Total Small Cubes Which have only NO FACE PAINTED (0)
[(5/1) – 2]3= [3]3 = 27
3
Total Small Cubes Which have only ONE FACE PAINTED (1)
[9 x 6] / 1 = 54
4
Total Small Cubes Which have only TWO FACES PAINTED (2)
[12 x 6] / 2 = 36
5
Total Small Cubes Which have only THREE FACES PAINTED (3)
[4 x 6] / 3 = 8
6
Total Small Cubes Which have at least ONE FACE PAINTED
(1) + (2) + (3) =54+36+8=98
7
Total Small Cubes Which have at most TWO FACES PAINTED
(0) + (1) + (2) = 27+54+36=117
Do the practices for different sizes of cubes cut into different no. of small cubes from previous papers set to achieve cut-off score in SSC IBPS or other competitive exams.

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