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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 no face coloured ?
- a)1
- b)2
- c)4
- d)8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions to Solve ...
Number of small cubes have no face coloured = (4 - 2) x (3 - 2) = 2 x 1 = 2
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Directions to Solve ...
Problem 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 determine how many small cubes will have no face colored.
Key Points:
- Cuboid dimensions: 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
- Small cubes have a side length of 1 cm
Explanation:
To solve this problem, we need to consider the dimensions of the cuboid and the color patterns mentioned.
Dimensions of the Cuboid:
The cuboid has dimensions 4 x 3 x 3 cm. This means it has 4 layers along the length, 3 layers along the width, and 3 layers along the height.
Color Patterns:
Based on the given information, we can determine the color patterns of the faces of the cuboid.
Yellow Colored Faces:
The opposite faces of dimensions 4 x 3 are colored yellow. This means the top and bottom faces of the cuboid, which have dimensions 4 x 3, are yellow.
Red Colored Faces:
The opposite faces of other dimensions 4 x 3 are colored red. This means the front and back faces of the cuboid, which have dimensions 4 x 3, are red.
Green Colored Faces:
The opposite faces of dimensions 3 x 3 are colored green. This means the left and right faces of the cuboid, which have dimensions 3 x 3, are green.
Small Cubes:
The cuboid is cut into small cubes with a side length of 1 cm. To determine how many small cubes will have no face colored, we need to understand the arrangement of the cubes within the cuboid.
Arrangement of Small Cubes:
Since the cuboid has dimensions 4 x 3 x 3 cm, it will have 4 x 3 x 3 = 36 small cubes in total. Let's visualize the arrangement of these small cubes within the cuboid:
- The cuboid has 4 layers along the length, with each layer having 3 x 3 small cubes.
- In each layer, the small cubes are arranged in a 3 x 3 grid.
- Therefore, there are 4 layers x (3 x 3 small cubes per layer) = 36 small cubes in total.
Small Cubes with No Face Colored:
To determine the number of small cubes with no face colored, we need to consider the color patterns mentioned earlier.
- Yellow Colored Faces: The top and bottom faces of the cuboid, which have dimensions 4 x 3, are yellow. This means that all the small cubes in the top and bottom layers will have at least one yellow face.
- Red Colored Faces: The front and back faces of the cuboid, which have dimensions 4 x 3,
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 determine how many small cubes will have no face colored.
Key Points:
- Cuboid dimensions: 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
- Small cubes have a side length of 1 cm
Explanation:
To solve this problem, we need to consider the dimensions of the cuboid and the color patterns mentioned.
Dimensions of the Cuboid:
The cuboid has dimensions 4 x 3 x 3 cm. This means it has 4 layers along the length, 3 layers along the width, and 3 layers along the height.
Color Patterns:
Based on the given information, we can determine the color patterns of the faces of the cuboid.
Yellow Colored Faces:
The opposite faces of dimensions 4 x 3 are colored yellow. This means the top and bottom faces of the cuboid, which have dimensions 4 x 3, are yellow.
Red Colored Faces:
The opposite faces of other dimensions 4 x 3 are colored red. This means the front and back faces of the cuboid, which have dimensions 4 x 3, are red.
Green Colored Faces:
The opposite faces of dimensions 3 x 3 are colored green. This means the left and right faces of the cuboid, which have dimensions 3 x 3, are green.
Small Cubes:
The cuboid is cut into small cubes with a side length of 1 cm. To determine how many small cubes will have no face colored, we need to understand the arrangement of the cubes within the cuboid.
Arrangement of Small Cubes:
Since the cuboid has dimensions 4 x 3 x 3 cm, it will have 4 x 3 x 3 = 36 small cubes in total. Let's visualize the arrangement of these small cubes within the cuboid:
- The cuboid has 4 layers along the length, with each layer having 3 x 3 small cubes.
- In each layer, the small cubes are arranged in a 3 x 3 grid.
- Therefore, there are 4 layers x (3 x 3 small cubes per layer) = 36 small cubes in total.
Small Cubes with No Face Colored:
To determine the number of small cubes with no face colored, we need to consider the color patterns mentioned earlier.
- Yellow Colored Faces: The top and bottom faces of the cuboid, which have dimensions 4 x 3, are yellow. This means that all the small cubes in the top and bottom layers will have at least one yellow face.
- Red Colored Faces: The front and back faces of the cuboid, which have dimensions 4 x 3,
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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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. Can you explain this answer?
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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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. 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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. 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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. 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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. 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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. 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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. 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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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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 no face coloured ?a)1b)2c)4d)8Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice LR tests.
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