Question : If both the length and breadth of a cuboid are increased by 12 percent, then by how much percent its height should be reduced so that the volume of the cuboid remains the same?
Option 1: 14.56 percent
Option 2: 24.72 percent
Option 3: 20.28 percent
Option 4: 28.44 percent
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 20.28 percent
Solution : Let the length be 100, breadth be 100 and height be 100. The volume of a cuboid = Length × Breadth × Height So, volume = 100 × 100 × 100 = 1000000 Now, the length and breadth of a cuboid are increased by 12 percent. Let the new height be $h$. According to the question, 1000000 = 112 × 112 × $h$ ⇒ $h$ = 79.72 So, the height has been reduced $=100-79.72=20.28$ Hence, the correct answer is 20.28 percent.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : If both the length and breadth of a cuboid are increased by 50%, then by how much percentage its height should be reduced so that its volume remains the same?
Question : If the radius of a cylinder is decreased by 16 percent, then by how much percent its height must be increased so that the volume of the cylinder remains the same.
Question : If the radius of a cylinder is decreased by 12%, then by how much percentage must its height be increased so that the volume of the cylinder remains the same?
Question : The length of a cuboid is half of its breadth and the height of the cuboid is thrice of its breadth. If the breadth of the cuboid is 12 cm, then what is the total surface area of the cuboid?
Question : The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile