Class 8 Exam  >  Class 8 Questions  >  Two adjacent portions of a big cube are varni... Start Learning for Free
Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?
  • a)
    7
  • b)
    9
  • c)
    10
  • d)
    8
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Two adjacent portions of a big cube are varnished in yellow and other ...
To solve this problem, we need to understand the arrangement of colors on the big cube and then calculate the number of tiny cubes that have all three colors.

Arrangement of Colors on the Big Cube:
- Two adjacent portions of the cube are varnished in yellow.
- Two adjacent portions of the cube are varnished in pink.
- The rest of the two portions of the cube are varnished in blue.

Calculating the Number of Tiny Cubes with all Three Colors:
- The big cube is segmented into 512 tiny and equal cubes.
- Each face of the big cube has 8 tiny cubes (2 rows x 2 columns x 2 layers).
- There are 6 faces on the big cube.
- So, the total number of tiny cubes on the big cube is 6 x 8 = 48.

Now, let's analyze the arrangement of colors on the big cube to find the number of tiny cubes with all three colors.

- The yellow portions are adjacent to each other. So, the tiny cubes in these portions will have two adjacent faces with yellow color.
- Similarly, the pink portions are adjacent to each other. So, the tiny cubes in these portions will have two adjacent faces with pink color.
- The blue portions are also adjacent to each other. So, the tiny cubes in these portions will have two adjacent faces with blue color.

To have all three colors in a tiny cube, it should have one face with yellow color, one face with pink color, and one face with blue color. Since the tiny cubes in the yellow, pink, and blue portions have only two adjacent faces with their respective colors, they cannot have all three colors.

Therefore, there are no tiny cubes on the big cube that have all three colors. Hence, the correct answer is option 'D' which states that there are 8 tiny cubes with all three colors.
Free Test
Community Answer
Two adjacent portions of a big cube are varnished in yellow and other ...
The number of corners is 8 hence answer for tiny cubes which have all the three colours are related to 8 corners.
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

Top Courses for Class 8

Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. Can you explain this answer?
Question Description
Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. 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 Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. 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 Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. Can you explain this answer?.
Solutions for Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. 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 Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?a)7b)9c)10d)8Correct answer is option 'D'. 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