LR Exam > LR Questions > Directions to Solve ...
Start Learning for Free
Directions to Solve
The following questions are based on the information given below:
- There is a cuboid whose dimensions are 4 x 3 x 3 cm.
- The opposite faces of dimensions 4 x 3 are coloured yellow.
- The opposite faces of other dimensions 4 x 3 are coloured red.
- The opposite faces of dimensions 3 x 3 are coloured green.
- Now the cuboid is cut into small cubes of side 1 cm.
How many small cubes will have only two faces coloured ?
- a)12
- b)24
- c)16
- d)12
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions to Solve ...
Number of small cubes having only two faces coloured = 6 from the front + 6 from the back + 2 from the left + 2 from the right
= 16
Most Upvoted Answer
Directions to Solve ...
Question Analysis:
We are given a cuboid with dimensions 4 x 3 x 3 cm. The opposite faces of dimensions 4 x 3 are colored yellow, the opposite faces of other dimensions 4 x 3 are colored red, and the opposite faces of dimensions 3 x 3 are colored green. We need to find the number of small cubes that will have only two faces colored.
Given Information:
- Dimensions of the cuboid: 4 x 3 x 3 cm
- Opposite faces of dimensions 4 x 3 are colored yellow
- Opposite faces of other dimensions 4 x 3 are colored red
- Opposite faces of dimensions 3 x 3 are colored green
Solution:
To solve this problem, we need to consider the different types of small cubes that can be formed when the cuboid is cut into 1 cm cubes.
Types of Small Cubes:
1. Yellow cubes: These cubes will have only yellow faces.
2. Red cubes: These cubes will have only red faces.
3. Green cubes: These cubes will have only green faces.
4. Cubes with two colored faces: These cubes will have two faces colored, and the remaining four faces will be uncolored.
Calculating the Number of Each Type of Cube:
1. Yellow cubes:
- The dimensions of the cuboid are 4 x 3 x 3 cm.
- Therefore, there will be 4 yellow cubes along the length of the cuboid.
- Similarly, there will be 3 yellow cubes along the width of the cuboid.
- And there will be 3 yellow cubes along the height of the cuboid.
- So, the total number of yellow cubes = 4 x 3 x 3 = 36 cubes.
2. Red cubes:
- The dimensions of the cuboid are 4 x 3 x 3 cm.
- Therefore, there will be 4 red cubes along the width of the cuboid.
- Similarly, there will be 3 red cubes along the length of the cuboid.
- And there will be 3 red cubes along the height of the cuboid.
- So, the total number of red cubes = 4 x 3 x 3 = 36 cubes.
3. Green cubes:
- The dimensions of the cuboid are 4 x 3 x 3 cm.
- Therefore, there will be 3 green cubes along the length of the cuboid.
- Similarly, there will be 3 green cubes along the width of the cuboid.
- And there will be 3 green cubes along the height of the cuboid.
- So, the total number of green cubes = 3 x 3 x 3 = 27 cubes.
4. Cubes with two colored faces:
- These cubes will have one face colored yellow, one face colored red, and the remaining four faces uncolored.
- Considering the dimensions of the cuboid, there will be 4 x 3 = 12 such cubes along the length.
- Similarly, there will be 4 x 3 = 12 such cubes along the width.
- And there will be 3 x 3 = 9 such cubes along the height.
-
We are given a cuboid with dimensions 4 x 3 x 3 cm. The opposite faces of dimensions 4 x 3 are colored yellow, the opposite faces of other dimensions 4 x 3 are colored red, and the opposite faces of dimensions 3 x 3 are colored green. We need to find the number of small cubes that will have only two faces colored.
Given Information:
- Dimensions of the cuboid: 4 x 3 x 3 cm
- Opposite faces of dimensions 4 x 3 are colored yellow
- Opposite faces of other dimensions 4 x 3 are colored red
- Opposite faces of dimensions 3 x 3 are colored green
Solution:
To solve this problem, we need to consider the different types of small cubes that can be formed when the cuboid is cut into 1 cm cubes.
Types of Small Cubes:
1. Yellow cubes: These cubes will have only yellow faces.
2. Red cubes: These cubes will have only red faces.
3. Green cubes: These cubes will have only green faces.
4. Cubes with two colored faces: These cubes will have two faces colored, and the remaining four faces will be uncolored.
Calculating the Number of Each Type of Cube:
1. Yellow cubes:
- The dimensions of the cuboid are 4 x 3 x 3 cm.
- Therefore, there will be 4 yellow cubes along the length of the cuboid.
- Similarly, there will be 3 yellow cubes along the width of the cuboid.
- And there will be 3 yellow cubes along the height of the cuboid.
- So, the total number of yellow cubes = 4 x 3 x 3 = 36 cubes.
2. Red cubes:
- The dimensions of the cuboid are 4 x 3 x 3 cm.
- Therefore, there will be 4 red cubes along the width of the cuboid.
- Similarly, there will be 3 red cubes along the length of the cuboid.
- And there will be 3 red cubes along the height of the cuboid.
- So, the total number of red cubes = 4 x 3 x 3 = 36 cubes.
3. Green cubes:
- The dimensions of the cuboid are 4 x 3 x 3 cm.
- Therefore, there will be 3 green cubes along the length of the cuboid.
- Similarly, there will be 3 green cubes along the width of the cuboid.
- And there will be 3 green cubes along the height of the cuboid.
- So, the total number of green cubes = 3 x 3 x 3 = 27 cubes.
4. Cubes with two colored faces:
- These cubes will have one face colored yellow, one face colored red, and the remaining four faces uncolored.
- Considering the dimensions of the cuboid, there will be 4 x 3 = 12 such cubes along the length.
- Similarly, there will be 4 x 3 = 12 such cubes along the width.
- And there will be 3 x 3 = 9 such cubes along the height.
-
|
Explore Courses for LR exam
|
|
Similar LR Doubts
Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer?
Question Description
Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer?.
Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
Download more important topics, notes, lectures and mock test series for LR Exam by signing up for free.
Here you can find the meaning of Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions to Solve The following questions are based on the information given below:There is a cuboid whose dimensions are 4 x 3 x 3 cm.The opposite faces of dimensions 4 x 3 are coloured yellow.The opposite faces of other dimensions 4 x 3 are coloured red.The opposite faces of dimensions 3 x 3 are coloured green.Now the cuboid is cut into small cubes of side 1 cm. Question - How many small cubes will have only two faces coloured ?a)12b)24c)16d)12Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice LR tests.
|
|
Explore Courses for LR exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup