Class 8 Exam  >  Class 8 Questions  >  All the opposite faces of a big cube are colo... Start Learning for Free
All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.
How many small cubes are there with 3 faces coloured?
  • a)
    4
  • b)
    8
  • c)
    16
  • d)
    24
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
All the opposite faces of a big cube are coloured with red, black and ...
Solution:

Total number of small cubes = 64

Each face of the big cube is coloured with three colours, i.e., red, black and green. Therefore, each face has three small squares of different colours.

Number of small cubes with three faces coloured = Number of small cubes with one face of each colour.

We can find the number of small cubes with one face of each colour as follows:

- There are 4 corners of the big cube. Each corner has 3 small cubes with one face of each colour. Therefore, total number of small cubes with one face of each colour at the corners = 4 × 3 = 12.
- There are 24 edges of the big cube. Each edge has 2 small cubes with one face of each colour. Therefore, total number of small cubes with one face of each colour at the edges = 24 × 2 = 48.
- There are 36 small squares on the faces of the big cube. Each small square has 1 small cube with one face of each colour. Therefore, total number of small cubes with one face of each colour on the faces = 36 × 1 = 36.

Total number of small cubes with one face of each colour = 12 + 48 + 36 = 96

Each small cube with one face of each colour has 3 faces coloured. Therefore, the number of small cubes with 3 faces coloured = 96/3 = 32.

Hence, the correct option is B) 8.
Free Test
Community Answer
All the opposite faces of a big cube are coloured with red, black and ...

Number of small cubes having three faces coloured = 1 at each corner = 1 × 8 = 8
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
Explore Courses for Class 8 exam

Similar Class 8 Doubts

Top Courses for Class 8

All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. Can you explain this answer?
Question Description
All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. 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 All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. 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 All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. Can you explain this answer?.
Solutions for All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. Can you explain this answer?, a detailed solution for All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice All the opposite faces of a big cube are coloured with red, black and green colours. After that, is cut it into 64 small equal cubes. In each of the following questions, select the correct option for the questions asked.How many small cubes are there with 3 faces coloured?a)4b)8c)16d)24Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 8 tests.
Explore Courses for Class 8 exam

Top Courses for Class 8

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev