Question : If the sum of the length, breadth and height of a rectangular parallelepiped is 24 cm and the length of its diagonal is 15 cm, then its total surface area is:
Option 1: 256 cm2
Option 2: 265 cm2
Option 3: 315 cm2
Option 4: 351 cm2
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 351 cm 2
Solution : Given: The sum of the length, breadth and height of a rectangular parallelepiped is 24 cm and the length of its diagonal is 15 cm. Let $l,b,$ and $h$ be the length, breadth and height of the rectangular parallelepiped. Total surface area = $2(lb+bh+hl)$ Length of diagonal = $\sqrt{l^2+b^2+h^2}$ According to the question, $\sqrt{l^2+b^2+h^2}=15$ $⇒(l^2+b^2+h^2) = 225$ Also, ($l+b+h$) = 24 $⇒(l+b+h)^2 = 24^2$ $⇒l^2+b^2+h^2+2 (lb+bh+hl) = 576$ $\therefore 2(lb+bh+hl)=576 - 225=351$ cm 2 Hence, the correct answer is 351 cm 2 .
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Question : The sum of the length and breadth of a cuboid is 16 cm. If the height of the cuboid is one-fourth of the sum of its length and breadth, then what is the lateral surface area of the cuboid?
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 a cuboid is six times its breadth and the height of a cuboid is four times its breadth. If the breadth of the cuboid is 3 cm, then what is the total surface area of the cuboid?
Question : The length of a cuboid is 10 cm. If the breadth of the cuboid is half of its length and the height of the cuboid is twice its length, then what is the lateral surface area of the cuboid?
Question : The length of a cuboid is 4 cm. If the breadth of the cuboid is four times its length and the height of the cuboid is twice its length, then what is the lateral surface area of the cuboid?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile