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A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a table. The cuboid is cut into two equal halves by a plane which is perpendicular to the base and passes through a pair of diagonally opposite points of that surface. Then, a second cut is made by a plane which is parallel to the surface of the table again dividing the cuboid into two equal halves. Now this cuboid is divided into four pieces. Out of these four pieces, one piece is now removed from its place. What is the total surface area of the remaining portion of the cuboid?
- a)1290 m2
- b)1380 m2
- c)1440 m2
- d)Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a ta...
Since we don’t know that the cut is made parallel to which face, we cannot determine the surface area.
Most Upvoted Answer
A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a ta...
Explanation:
Given Parameters:
- Length of cuboid = 20 m
- Breadth of cuboid = 15 m
- Height of cuboid = 12 m
Step 1: Cutting the Cuboid into Two Equal Halves
- When the cuboid is cut into two equal halves by a plane perpendicular to the base and passing through a pair of diagonally opposite points, we get two equal halves.
- Each half has dimensions: Length = 20 m, Breadth = 15 m, Height = 6 m
Step 2: Cutting the Halves into Two Equal Parts Again
- When the halves are cut by a plane parallel to the table, we get four equal pieces.
- Each piece has dimensions: Length = 20 m, Breadth = 7.5 m, Height = 6 m
Step 3: Removing One Piece
- One piece is removed from the four pieces obtained from the second cut.
Calculating the Total Surface Area of the Remaining Portion
- The total surface area of the remaining portion can't be determined because the exact shape and dimensions of the remaining portion after removing one piece are not specified.
Therefore, the total surface area of the remaining portion of the cuboid cannot be determined.
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A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a table. The cuboid is cut into two equal halves by a plane which is perpendicular to the base and passes through a pair of diagonally opposite points of that surface. Then, a second cut is made by a plane which is parallel to the surface of the table again dividing the cuboid into two equal halves. Now this cuboid is divided into four pieces. Out of these four pieces, one piece is now removed from its place. What is the total surface area of the remaining portion of the cuboid?a)1290 m2b)1380 m2c)1440 m2d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a table. The cuboid is cut into two equal halves by a plane which is perpendicular to the base and passes through a pair of diagonally opposite points of that surface. Then, a second cut is made by a plane which is parallel to the surface of the table again dividing the cuboid into two equal halves. Now this cuboid is divided into four pieces. Out of these four pieces, one piece is now removed from its place. What is the total surface area of the remaining portion of the cuboid?a)1290 m2b)1380 m2c)1440 m2d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a table. The cuboid is cut into two equal halves by a plane which is perpendicular to the base and passes through a pair of diagonally opposite points of that surface. Then, a second cut is made by a plane which is parallel to the surface of the table again dividing the cuboid into two equal halves. Now this cuboid is divided into four pieces. Out of these four pieces, one piece is now removed from its place. What is the total surface area of the remaining portion of the cuboid?a)1290 m2b)1380 m2c)1440 m2d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a table. The cuboid is cut into two equal halves by a plane which is perpendicular to the base and passes through a pair of diagonally opposite points of that surface. Then, a second cut is made by a plane which is parallel to the surface of the table again dividing the cuboid into two equal halves. Now this cuboid is divided into four pieces. Out of these four pieces, one piece is now removed from its place. What is the total surface area of the remaining portion of the cuboid?a)1290 m2b)1380 m2c)1440 m2d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a table. The cuboid is cut into two equal halves by a plane which is perpendicular to the base and passes through a pair of diagonally opposite points of that surface. Then, a second cut is made by a plane which is parallel to the surface of the table again dividing the cuboid into two equal halves. Now this cuboid is divided into four pieces. Out of these four pieces, one piece is now removed from its place. What is the total surface area of the remaining portion of the cuboid?a)1290 m2b)1380 m2c)1440 m2d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a table. The cuboid is cut into two equal halves by a plane which is perpendicular to the base and passes through a pair of diagonally opposite points of that surface. Then, a second cut is made by a plane which is parallel to the surface of the table again dividing the cuboid into two equal halves. Now this cuboid is divided into four pieces. Out of these four pieces, one piece is now removed from its place. What is the total surface area of the remaining portion of the cuboid?a)1290 m2b)1380 m2c)1440 m2d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cuboid of length 20 m, breadth 15 m and height 12 m is lying on a table. The cuboid is cut into two equal halves by a plane which is perpendicular to the base and passes through a pair of diagonally opposite points of that surface. Then, a second cut is made by a plane which is parallel to the surface of the table again dividing the cuboid into two equal halves. Now this cuboid is divided into four pieces. Out of these four pieces, one piece is now removed from its place. What is the total surface area of the remaining portion of the cuboid?a)1290 m2b)1380 m2c)1440 m2d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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