CLEAR
Toprankers-Info

+91 7676564400

Mobile App

Get it on Google Play
Discussions
Select Date
Tags:

Articles

Discussions
Submit Discussion
Sohil Rajput

· started a discussion

· 1 Months ago

fhhf (Question: 99453.0 )

differentiate the function with respect to x

Question:
From a square sheet of side 12cm, a square of side x cm was cut from each of its corners where x is an integer. The remaining sheet was folded to make an open cuboid. Which of the following values of x will result in the maximum possible volume of the cuboid so formed?
Options:
A) 4
B) 3
C) 2
D) 1
Solution:
Ans: (c) 


For the cuboid termed, length = breadth = (12 - 2x) cm and height = x cm.

Volume of the cuboid formed = (12 - 2x) (12 - 2x) (x) cubic cm. Length of cuboid > 0

∴ 12 - 2x > 0 i.e 6 > x

x is an integer.

∴ x = 1 or 2 or 3 or 4 or 5

Among these values of x, x = 2 results in the maximum value of the volume x (12 - 2x)2.

∴ x = 2 results in the maximum volume of the cuboid.

-logo
We at aim to provide most comprehensive content & test for practice which is carefully divided into various chapters and topics to help you focus on your weak areas.Our Practice mock test gives you unmatched analytics to help you realize your strong areas,time management and improvement areas.Our Short & Crisp notes on each topic will help you to quickly revise the topic along with the tips & tricks of the exams.
More About
-Info
-Info

Mobile App

Get it on Google Play
About Us Campus Ambassador Careers Contact Us Refund Policy

All Rights Reserved Top Rankers

User Policy
Disclaimer
Terms & Conditions