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A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).
How many cubes will remain if the cubes having black and green coloured are removed?
- a)4
- b)8
- c)12
- d)16
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm he...
Breadth and 1 cm height are painted red. The block is then cut into small cubes of 1 cm side length.
1. How many cubes can be made from the wooden block?
The volume of the wooden block is given by:
Volume = length x breadth x height
Volume = 6 cm x 4 cm x 1 cm
Volume = 24 cm³
Each small cube has a volume of 1 cm³.
So, the number of cubes that can be made from the wooden block is:
Number of cubes = Volume of wooden block / Volume of each cube
Number of cubes = 24 cm³ / 1 cm³
Number of cubes = 24
Therefore, 24 small cubes can be made from the wooden block.
2. How many cubes will have at least one red face?
The total number of cubes with at least one red face can be found by adding the number of cubes with one red face and the number of cubes with two red faces.
Number of cubes with one red face:
The two faces that are painted red are of dimensions 4 cm x 1 cm.
So, the number of cubes with one red face is:
Number of cubes with one red face = (4 cm x 1 cm) x 2 / (1 cm x 1 cm x 1 cm)
Number of cubes with one red face = 8
Number of cubes with two red faces:
There are two faces that are painted red, so the number of cubes with two red faces is the number of cubes that have one of these two faces facing up, multiplied by 2.
Number of cubes with two red faces = (4 cm x 1 cm) x 2 / (1 cm x 1 cm x 1 cm)
Number of cubes with two red faces = 8
Total number of cubes with at least one red face = Number of cubes with one red face + Number of cubes with two red faces
Total number of cubes with at least one red face = 8 + 8
Total number of cubes with at least one red face = 16
Therefore, 16 small cubes will have at least one red face.
1. How many cubes can be made from the wooden block?
The volume of the wooden block is given by:
Volume = length x breadth x height
Volume = 6 cm x 4 cm x 1 cm
Volume = 24 cm³
Each small cube has a volume of 1 cm³.
So, the number of cubes that can be made from the wooden block is:
Number of cubes = Volume of wooden block / Volume of each cube
Number of cubes = 24 cm³ / 1 cm³
Number of cubes = 24
Therefore, 24 small cubes can be made from the wooden block.
2. How many cubes will have at least one red face?
The total number of cubes with at least one red face can be found by adding the number of cubes with one red face and the number of cubes with two red faces.
Number of cubes with one red face:
The two faces that are painted red are of dimensions 4 cm x 1 cm.
So, the number of cubes with one red face is:
Number of cubes with one red face = (4 cm x 1 cm) x 2 / (1 cm x 1 cm x 1 cm)
Number of cubes with one red face = 8
Number of cubes with two red faces:
There are two faces that are painted red, so the number of cubes with two red faces is the number of cubes that have one of these two faces facing up, multiplied by 2.
Number of cubes with two red faces = (4 cm x 1 cm) x 2 / (1 cm x 1 cm x 1 cm)
Number of cubes with two red faces = 8
Total number of cubes with at least one red face = Number of cubes with one red face + Number of cubes with two red faces
Total number of cubes with at least one red face = 8 + 8
Total number of cubes with at least one red face = 16
Therefore, 16 small cubes will have at least one red face.
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Community Answer
A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm he...
Solution:
Total number of Cubes in a Cuboid shaped wooden block=24
Clearly in the figure Upper and lower faces of Cuboid are coloured with green colour and left and right face of Cuboid are coloured with black.
By Question, if cubes having black and green coloured are removed ,then Clearly total number of cubes removed will be 8.
Therefore, Total number of cubes remained in the cuboid = 24-8
=16
Thus option (d) is correct answer.
Total number of Cubes in a Cuboid shaped wooden block=24
Clearly in the figure Upper and lower faces of Cuboid are coloured with green colour and left and right face of Cuboid are coloured with black.
By Question, if cubes having black and green coloured are removed ,then Clearly total number of cubes removed will be 8.
Therefore, Total number of cubes remained in the cuboid = 24-8
=16
Thus option (d) is correct answer.
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A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct answer is option 'D'. Can you explain this answer?
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A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct 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 A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct 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 A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct answer is option 'D'. Can you explain this answer?.
A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct 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 A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct 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 A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct answer is option 'D'. Can you explain this answer?.
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A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height. Two faces measuring 4 cm × 1 cm are coloured in black. Two faces measuring 6 cm × 1 cm are coloured in red. Two faces measuring 6 cm × 4 cm are coloured in green. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm (from 4 cm side).How many cubes will remain if the cubes having black and green coloured are removed?a)4b)8c)12d)16Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 8 tests.
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