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A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.
How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?
- a)8
- b)10
- c)12
- d)16
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A cube is coloured orange on one face, pink on the opposite face, brow...
Understanding the Cube Coloring
The cube has 6 faces, and it's colored as follows:
- Orange on one face
- Pink on the opposite face
- Brown on one face
- Silver on an adjacent face to the brown face
- The remaining two faces are left uncolored.
Cube Dimensions
The cube is then cut into 125 smaller cubes, which indicates that the original cube has dimensions of 5x5x5 (since 5^3 = 125).
Identifying the Silver-Colored Cubes
We need to find the smaller cubes that are:
- Coloured silver on one face
- Coloured orange or pink on another face
- Have four uncolored faces
Analyzing Cube Faces
1. Silver Face:
- The silver face is adjacent to the brown face.
2. Adjacent Faces:
- The orange and pink faces are opposite each other, while the brown face is adjacent to the silver face.
Locating Suitable Smaller Cubes
- Each face of the original cube contributes smaller cubes. The silver face has a 5x5 grid of smaller cubes.
- The smaller cubes located at the edges and corners of the silver face will qualify since they can touch the orange or pink face.
Counting Suitable Cubes
1. Corner Cubes:
- There are 4 corner smaller cubes on the silver face. Each of these cubes will have:
- 1 face silver
- 1 face orange or pink (depending on corner)
- 4 faces uncolored
2. Edge Cubes:
- Each edge of the silver face has 1 small cube that is not a corner (middle of the edge):
- There are 4 edges on the silver face, contributing another 4 cubes.
The total number of suitable smaller cubes is:
- 4 corner cubes + 4 edge cubes = 8 cubes.
Conclusion
Thus, there are 8 smaller cubes that are coloured silver on one face, orange or pink on another face, and have four uncolored faces. Therefore, the correct answer is option 'A'.
The cube has 6 faces, and it's colored as follows:
- Orange on one face
- Pink on the opposite face
- Brown on one face
- Silver on an adjacent face to the brown face
- The remaining two faces are left uncolored.
Cube Dimensions
The cube is then cut into 125 smaller cubes, which indicates that the original cube has dimensions of 5x5x5 (since 5^3 = 125).
Identifying the Silver-Colored Cubes
We need to find the smaller cubes that are:
- Coloured silver on one face
- Coloured orange or pink on another face
- Have four uncolored faces
Analyzing Cube Faces
1. Silver Face:
- The silver face is adjacent to the brown face.
2. Adjacent Faces:
- The orange and pink faces are opposite each other, while the brown face is adjacent to the silver face.
Locating Suitable Smaller Cubes
- Each face of the original cube contributes smaller cubes. The silver face has a 5x5 grid of smaller cubes.
- The smaller cubes located at the edges and corners of the silver face will qualify since they can touch the orange or pink face.
Counting Suitable Cubes
1. Corner Cubes:
- There are 4 corner smaller cubes on the silver face. Each of these cubes will have:
- 1 face silver
- 1 face orange or pink (depending on corner)
- 4 faces uncolored
2. Edge Cubes:
- Each edge of the silver face has 1 small cube that is not a corner (middle of the edge):
- There are 4 edges on the silver face, contributing another 4 cubes.
The total number of suitable smaller cubes is:
- 4 corner cubes + 4 edge cubes = 8 cubes.
Conclusion
Thus, there are 8 smaller cubes that are coloured silver on one face, orange or pink on another face, and have four uncolored faces. Therefore, the correct answer is option 'A'.
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Community Answer
A cube is coloured orange on one face, pink on the opposite face, brow...
Only one face colored.
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A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer?
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A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer?.
A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer?.
Solutions for A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8.
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A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A cube is coloured orange on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following questions based on the above statements.How many cubes are coloured silver on one face, orange or pink on another face and have four uncoloured faces?a)8b)10c)12d)16Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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