SSC Exam  >  SSC Questions  >  If the length and height of the cuboid of vol... Start Learning for Free
If the length and height of the cuboid of volume 480 cm3 is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?
  • a)
    length = 2 (breadth)
  • b)
    2 (length) = 3 (breadth)
  • c)
    3 (length) = 4 (breadth)
  • d)
    4 (length) = 5 (breadth)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the length and height of the cuboid of volume 480 cm3is 12 cm and 5...
Volume of cuboid = length × breadth × height
⇒ 480 = 12 × breadth × 5
⇒ Breadth = 480/60 = 8 cm
Now,
Length/breadth = 12/8 = 3/2
∴ 2 (Length) = 3 (Breadth)
View all questions of this test
Most Upvoted Answer
If the length and height of the cuboid of volume 480 cm3is 12 cm and 5...
Understanding the Cuboid Volume
To find the relation between the length and breadth of the cuboid, we start with the formula for the volume of a cuboid:
- Volume = Length × Breadth × Height
Given Values
- Volume = 480 cm³
- Length (L) = 12 cm
- Height (H) = 5 cm
Finding the Breadth
Using the volume formula, we can substitute the known values:
- 480 = 12 × Breadth × 5
Now, simplify the equation:
- 480 = 60 × Breadth
Next, we can isolate the breadth (B):
- Breadth = 480 / 60
- Breadth = 8 cm
Establishing the Relation
Now that we have the breadth, we can establish the relationship between length and breadth:
Let L = Length and B = Breadth.
- Given L = 12 cm and B = 8 cm
We can express this relationship mathematically:
- L = 12 cm
- B = 8 cm
Now, we can examine the options for the relation:
- a) length = 2 (breadth) → 12 ≠ 2(8)
- b) 2 (length) = 3 (breadth) → 2(12) = 3(8) → 24 = 24 (True)
- c) 3 (length) = 4 (breadth) → 3(12) ≠ 4(8)
- d) 4 (length) = 5 (breadth) → 4(12) ≠ 5(8)
Conclusion
The correct relationship is option b: 2 (length) = 3 (breadth). This means that the length is proportional to the breadth by the ratio of 3:2, confirming the answer.
Explore Courses for SSC exam
If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer?
Question Description
If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer? for SSC 2025 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer?.
Solutions for If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC. Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the length and height of the cuboid of volume 480 cm3is 12 cm and 5 cm respectively, then what is the relation between the length and breadth of the cuboid?a)length = 2 (breadth)b)2 (length) = 3 (breadth)c)3 (length) = 4 (breadth)d)4 (length) = 5 (breadth)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC tests.
Explore Courses for SSC exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev