2 Views

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?

Option 1: 128 cm2

Option 2: 196 cm2

Option 3: 96 cm2

Option 4: 156 cm2


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 128 cm 2


Solution : Take l as the length of the cuboid,
b as the breadth of the cuboid,
h as the height of the cuboid.
According to the given information, the sum of the length and breadth of the cuboid is 16 cm:
l + b = 16
Also, the height h is $\frac{1}{4}$ of the sum of the length and breadth:
⇒ h = $\frac{1}{4}$(l+b)
find the lateral surface area (LSA) of the cuboid. The formula for the lateral surface area of a cuboid is:
LSA = 2h (l + b)
⇒ LSA=2 × $\frac{1}{4}$​(l+b))(l+b)
⇒ LSA = $\frac{1}{2}$ ​(l+b)(l+b)
⇒ LSA = $\frac{1}{2}$ ​16 ×16
⇒ LSA = 128 cm 2
Hence, the correct answer is 128 cm 2 .

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books