A box is constant volume c is be twice as long as it is wide. The material on the top and four sides cost three times as much per square meter as that in the bottom, then the most economic dimensions are ____

Class: 9

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let length be l
Breadth be b
Height be h
l = 2b
volume of box = c
c = 2b2h
area of %b = 2b2
Area of sides = 2bh + 2bh + bh + bh
= 6bh
Let r be cost for bottom and for to p and side cost be 3r
f = r(2b2) + 3r(2b2 + 6bh)
r(8b2 + 18bh)
c = 2b2h

16b3 = 9c

Hence volume will be minimum when
Question Image

Hence

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!