Railways Exam > Railways Questions > The edges of a cuboid are in the ratio 2 : 3 ...
Start Learning for Free
The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?
- a)640 cubic cm
- b)650 cubic cm
- c)658 cubic cm
- d)648 cubic cm
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface...
Let it's edges are 2x, 3x, 4x
Surface area = 468
Most Upvoted Answer
The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface...
Given:
- The edges of the cuboid are in the ratio 2:3:4.
- The total surface area of the cuboid is 468 sq cm.
To find:
- The volume of the cuboid.
Solution:
Let's assume the three edges of the cuboid to be 2x, 3x, and 4x.
Step 1: Finding the Surface Area:
The total surface area of a cuboid is given by the formula:
2 (lw + lh + wh)
Given that the total surface area is 468 sq cm, we can write the equation as:
2(2x * 3x + 2x * 4x + 3x * 4x) = 468
Simplifying the equation:
2(6x^2 + 8x^2 + 12x^2) = 468
2(26x^2) = 468
52x^2 = 468
x^2 = 468/52
x^2 = 9
x = √9
x = 3
Therefore, the three edges of the cuboid are 2x = 2 * 3 = 6, 3x = 3 * 3 = 9, and 4x = 4 * 3 = 12.
Step 2: Finding the Volume:
The volume of a cuboid is given by the formula:
lwh
Substituting the values, we have:
Volume = 6 * 9 * 12
Volume = 648 cubic cm
Therefore, the volume of the cuboid is 648 cubic cm, which is option D.
- The edges of the cuboid are in the ratio 2:3:4.
- The total surface area of the cuboid is 468 sq cm.
To find:
- The volume of the cuboid.
Solution:
Let's assume the three edges of the cuboid to be 2x, 3x, and 4x.
Step 1: Finding the Surface Area:
The total surface area of a cuboid is given by the formula:
2 (lw + lh + wh)
Given that the total surface area is 468 sq cm, we can write the equation as:
2(2x * 3x + 2x * 4x + 3x * 4x) = 468
Simplifying the equation:
2(6x^2 + 8x^2 + 12x^2) = 468
2(26x^2) = 468
52x^2 = 468
x^2 = 468/52
x^2 = 9
x = √9
x = 3
Therefore, the three edges of the cuboid are 2x = 2 * 3 = 6, 3x = 3 * 3 = 9, and 4x = 4 * 3 = 12.
Step 2: Finding the Volume:
The volume of a cuboid is given by the formula:
lwh
Substituting the values, we have:
Volume = 6 * 9 * 12
Volume = 648 cubic cm
Therefore, the volume of the cuboid is 648 cubic cm, which is option D.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Top Courses for RailwaysView all
The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer?
Question Description
The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer?.
The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The edges of a cuboid are in the ratio 2 : 3 : 4. If the total surface area of the cuboid is 468 sq cm, what is its volume?a)640 cubic cmb)650 cubic cmc)658 cubic cmd)648 cubic cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup