Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Q. 6 -10 Carry Two markeachQ.A cube of side 3...
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Q. 6 -10 Carry Two mark each
Q.
A cube of side 3 units is formed using a set of smaller cubes of side 1 unit; Find the proportion of
the number of faces of the smaller cubes visible to those which are NOT visible.
the number of faces of the smaller cubes visible to those which are NOT visible.
- a)1:4
- b)1:3
- c)1:2
- d)2:3
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Q. 6 -10 Carry Two markeachQ.A cube of side 3 units is formed using a ...
Cube of side 3 units formed using smaller cubes of side 1 unit
To solve this problem, let's first visualize the cube.
Description:
- A cube of side 3 units is formed using a set of smaller cubes of side 1 unit.
- Each face of the larger cube is made up of 9 smaller cubes (3 x 3 grid).
- The larger cube has a total of 54 smaller cubes (3 x 3 x 3).
Proportion of visible faces to non-visible faces:
Visible faces:
- The six faces of the larger cube are visible.
- Each face is made up of 9 smaller cubes.
- So, the number of visible faces of the smaller cubes is 6 x 9 = 54.
Non-visible faces:
- The interior smaller cubes have three faces that are not visible.
- There are 27 interior smaller cubes (1 x 1 x 1).
- So, the number of non-visible faces of the smaller cubes is 27 x 3 = 81.
Proportion calculation:
To find the proportion of the number of faces of the smaller cubes visible to those which are not visible, we need to divide the number of visible faces by the number of non-visible faces.
Proportion = Number of visible faces / Number of non-visible faces
Number of visible faces = 54
Number of non-visible faces = 81
Proportion = 54 / 81 = 2 / 3
Therefore, the proportion of the number of faces of the smaller cubes visible to those which are not visible is 2:3.
Hence, the correct answer is option 'd' (2:3).
To solve this problem, let's first visualize the cube.
Description:
- A cube of side 3 units is formed using a set of smaller cubes of side 1 unit.
- Each face of the larger cube is made up of 9 smaller cubes (3 x 3 grid).
- The larger cube has a total of 54 smaller cubes (3 x 3 x 3).
Proportion of visible faces to non-visible faces:
Visible faces:
- The six faces of the larger cube are visible.
- Each face is made up of 9 smaller cubes.
- So, the number of visible faces of the smaller cubes is 6 x 9 = 54.
Non-visible faces:
- The interior smaller cubes have three faces that are not visible.
- There are 27 interior smaller cubes (1 x 1 x 1).
- So, the number of non-visible faces of the smaller cubes is 27 x 3 = 81.
Proportion calculation:
To find the proportion of the number of faces of the smaller cubes visible to those which are not visible, we need to divide the number of visible faces by the number of non-visible faces.
Proportion = Number of visible faces / Number of non-visible faces
Number of visible faces = 54
Number of non-visible faces = 81
Proportion = 54 / 81 = 2 / 3
Therefore, the proportion of the number of faces of the smaller cubes visible to those which are not visible is 2:3.
Hence, the correct answer is option 'd' (2:3).
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Community Answer
Q. 6 -10 Carry Two markeachQ.A cube of side 3 units is formed using a ...
Total faces due to 27 cubes= 27*6=162
No of cubes with 3 FACES visible=8, 8*3=24
No of cubes with 2 FACES visible =12*2=24
No of cubes with 1 FACE visible = 6*1=6
Total no of FACES visible = 24+24+6=54
Total no of FACES not visible = Total no of FACES - total no of FACES visible
162–54=108
Ratio of total no of FACES visible to total no of FACES not visible
54:108 = 1:2
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Q. 6 -10 Carry Two markeachQ.A cube of side 3 units is formed using a set of smaller cubes of side 1 unit; Find the proportion ofthe number of faces of the smaller cubes visible to those which are NOT visible.a)1:4b)1:3c)1:2d)2:3Correct answer is option 'C'. Can you explain this answer?
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Q. 6 -10 Carry Two markeachQ.A cube of side 3 units is formed using a set of smaller cubes of side 1 unit; Find the proportion ofthe number of faces of the smaller cubes visible to those which are NOT visible.a)1:4b)1:3c)1:2d)2:3Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Q. 6 -10 Carry Two markeachQ.A cube of side 3 units is formed using a set of smaller cubes of side 1 unit; Find the proportion ofthe number of faces of the smaller cubes visible to those which are NOT visible.a)1:4b)1:3c)1:2d)2:3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. 6 -10 Carry Two markeachQ.A cube of side 3 units is formed using a set of smaller cubes of side 1 unit; Find the proportion ofthe number of faces of the smaller cubes visible to those which are NOT visible.a)1:4b)1:3c)1:2d)2:3Correct answer is option 'C'. Can you explain this answer?.
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