Check sibling questions

Ex 6.4, 4 - Find approx change in volume V of a cube of side x

Ex 6.4,4 - Chapter 6 Class 12 Application of Derivatives - Part 2

Get live Maths 1-on-1 Classs - Class 6 to 12


Ex 6.4, 4 Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 1%.Let side of the cube = x metres Increase in side = 1% = 0.01 x Hence, ∆x = 0.01 x Volume of the cube = V = x3 m3 We need to find approximate change in volume v of the cube i.e. ∆V Now, ∆V = 𝑑𝑣/𝑑𝑥 ∆x = (𝑑(𝑥^3))/𝑑𝑥 ∆x = 3x2 (0.01x) = 0.03 x3 Hence, the approximate change is 0.03 x3 m3.

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.