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Direction : A cuboid is divided into 192 identical cubelets This Is done by making minimum no. ot cuts possible. At cuts are parallel to some of the face. But before that, The cube is-painted with green color on one set of opposite faces. Blue on other set of opposite faces and tea on their pair of annosit faces.
Q. What is the maximum number of cubelets possible, which one colored with green colored only?
  • a)
    48
  • b)
    64
  • c)
    96
  • d)
    72
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction : A cuboid is divided into 192 identical cubelets This Is d...
As we want to maximize the number of cubelets with green in color, the only cuboid has to be painted with green color on the set of opposite faces of 6 x 8. Hence no. of green colored only cubelets will (6 - 2) x (8 - 4) = 4 x 6 = 24, from face. There are two such faces hence maximum total no. of only green painted cube lets will be = 24 x 2 = 48
Hence option (a)
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Direction : A cuboid is divided into 192 identical cubelets This Is d...
Solution:

Given, a cuboid is divided into 192 identical cubelets with minimum cuts possible. The cuts are parallel to some of the faces. The cuboid is painted with green color on one set of opposite faces, blue on the other set of opposite faces, and tea on their pair of annosit faces.

We need to find the maximum number of cubelets possible, which are colored with green color only.

Let's consider the cuboid which is divided into identical cubelets with minimum cuts possible.

Number of cubelets in the cuboid = 192

We know that the cuboid has six faces. Let's consider the opposite faces of the cuboid which are painted with green color.

The opposite faces of the cuboid which are painted with green color are:

1. Top and bottom faces
2. Front and back faces

The green color is not painted on the left and right faces.

Hence, the cubelets which are colored with green color only are present in the top, bottom, front, and back faces of the cuboid.

Let's calculate the number of cubelets in the top, bottom, front, and back faces of the cuboid.

Each face of the cuboid has 8 x 12 = 96 cubelets.

Hence, the total number of cubelets in the top, bottom, front, and back faces of the cuboid = 4 x 96 = 384

Therefore, the maximum number of cubelets possible, which are colored with green color only = 384/8 = 48

Hence, the correct option is (a) 48.
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Direction : A cuboid is divided into 192 identical cubelets This Is done by making minimum no. ot cuts possible. At cuts are parallel to some of the face. But before that, The cube is-painted with green color on one set of opposite faces. Blue on other set of opposite faces and tea on their pair of annosit faces.Q. What is the maximum number of cubelets possible, which one colored with green colored only?a)48b)64c)96d)72Correct answer is option 'A'. Can you explain this answer?
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Direction : A cuboid is divided into 192 identical cubelets This Is done by making minimum no. ot cuts possible. At cuts are parallel to some of the face. But before that, The cube is-painted with green color on one set of opposite faces. Blue on other set of opposite faces and tea on their pair of annosit faces.Q. What is the maximum number of cubelets possible, which one colored with green colored only?a)48b)64c)96d)72Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction : A cuboid is divided into 192 identical cubelets This Is done by making minimum no. ot cuts possible. At cuts are parallel to some of the face. But before that, The cube is-painted with green color on one set of opposite faces. Blue on other set of opposite faces and tea on their pair of annosit faces.Q. What is the maximum number of cubelets possible, which one colored with green colored only?a)48b)64c)96d)72Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction : A cuboid is divided into 192 identical cubelets This Is done by making minimum no. ot cuts possible. At cuts are parallel to some of the face. But before that, The cube is-painted with green color on one set of opposite faces. Blue on other set of opposite faces and tea on their pair of annosit faces.Q. What is the maximum number of cubelets possible, which one colored with green colored only?a)48b)64c)96d)72Correct answer is option 'A'. Can you explain this answer?.
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