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- Question
- A solid red coloured cube is painted yellow on all sides. The cube is cut into 125 equal cubes. How many sides will have 3 sides yellow?
Options- A. 10
- B. 4
- C. 8
- D. 12
- Correct Answer
- 8
ExplanationWe follow the given pattern :-
In Layer-I, the nine central cubes have only one face painted, four cubes at the corner have three faces painted and the remaining 12 cubes have two faces painted.
In each of the Layer-II, III and IV, the nine central cubes have no face painted, the four cubes at the corner have two faces painted and the remaining 12 cubes have one face painted.
In Layer-V, the nine central cubes have only one face painted, the four cubes at the corner have three faces painted and the remaining 12 cubes have two faces painted.
Thus, the number of cubes having three faces painted = 4 + 4 = 8 - 1. A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes have no face painted?
Options- A. 0
- B. 4
- C. 8
- D. 16 Discuss
- 2. A solid cube of 4 inches has been painted red, green and black on pairs of opposite faces. It has been cut into one inch cubes. How many cubes have all three colours?
Options- A. 0
- B. 4
- C. 8
- D. 16 Discuss
- 3. A solid cube of 4 inches has been painted Red, Green, and Black on pair of opposite faces. It has been cut into one inch cubes. How many cubes have only one face painted that too only red?
Options- A. 4
- B. 8
- C. 16
- D. 24 Discuss
- 4. Wooden little cubes each with an edge of one inch are put together to form a solid cube with an edge of three inches. This big cube is then painted red all over the outside. When the big cube is broken-up into the original little ones, how many cubes will be without paint?
Options- A. 0
- B. 1
- C. 3
- D. 4 Discuss
- 5. If a cube is made using the given arrangements, which color will be opposite the color Green?
Options- A. Orange
- B. Red
- C. Silver
- D. Violet Discuss
- 6. A cube which is painted red on the outer surface is of 2 inches height, 2 inches wide and 2 inches across. If it is cut into one-inch cubes as shown by dotted lines, indicate the number of cubes which are red on two sides only?
Options- A. 4
- B. 6
- C. 8
- D. 0 Discuss
- 7. From the given blocks when 10 is at the bottom, which number will be at the top?
Options- A. 8
- B. 12
- C. 6
- D. 4 Discuss
- 8. Based on the diagrams which letter is opposite to A?
Options- A. B
- B. C
- C. D
- D. E Discuss
- 9. The figure given on the left hand side is folded to form a box. Choose from the alternatives (1), (2), (3) and (4) the boxes that is similar to the box formed.
Options- A. (2) and (3) only
- B. (1), (3) and (4) only
- C. (2) and (4) only
- D. (1) and (4) only Discuss
- 10. If a paper is folded as shown in figure to form a cube, then the pairs of opposite faces are
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
Cubes and Dice problems
Search Results
Correct Answer: 8
Explanation:
As we can see that ,
Four central cubes in Layer 2 and four central cubes in Layer 3 have no face painted. Thus, there are 8 such cubes.
Correct Answer: 8
Explanation:
As per the given all information in above question , we can say that
Cubes A to G = 7 and 1 backside cube will have 3 colours .
Alternatively, The four cubes at the corners of Layer 1 and the four cubes at corners of Layer 4 have three colours.
Correct Answer: 8
Explanation:
On the basis of given all above information , we can say that
There are four cubes in Layer?I and four cubes in Layer IV which have only one face painted red and all other faces not painted at all.
Thus there are eight such cubes.
Correct Answer: 1
Explanation:
As per the given all information in above question , we can say that
The central cube of middle row will be without paint.
Correct Answer: Violet
Explanation:
We follow the given pattern :-
From first, second and third figure Orange, Red, Silver and White cannot be on the opposite face of Green colour.
Therefore, Violet is opposite to Green.
Correct Answer: 0
Explanation:
On the basis of following pattern in given dices , we can say that
No Cube is there with two red faces only.
All the eight cubes have three red faces.
Correct Answer: 12
Explanation:
On the basis of following pattern in given dices , we can say that
From the two views of blocks it is clear that when 10 is at the bottom, number 12 will be at the top.
Correct Answer: D
Explanation:
On the basis of following pattern in given dices , we can say that
From the two views of the same dice it is clear that, B, C and E are on the faces adjacent to A.
So, D lies opposite to A.
Correct Answer: (1), (3) and (4) only
Explanation:
On the basis of the given open dice in above question , we can say that
The dot will lie opposite one of the shaded surfaces.
Therefore, option (2) cannot be formed.
Correct Answer: 3
Explanation:
As per the given open dice in above question , we can see that
When paper is folded in the form of a cube, then
? lies opposite ?
+ lies opposite ÷
? lies opposite ?
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