 Hi and welcome to the session. I am Deepika here. Let's discuss the question the approximate change in the volume of a cube of side x meters caused by increasing the side by 3% is a 0.06 x cube meter cube b 0.6 x cube meter cube c 0.09 x cube meter cube and b 0.9 x cube meter cube So let's start the solution given side of the cube is x meter Percentage increase in the side is 3% this implies delta x is equal to 3% of x that is 0.03 x Let b be the volume of a cube With side x meter. Therefore v is equal to x cube and dv by dx Is equal to 3x square Let delta v be the approximate Change in the volume Therefore delta v is equal to dv by dx Into delta x and this is equal to dv by dx is 3x square Into delta x is 0.03 x and this is equal to 0.09 x cube meter cube Hence the approximate change in the volume is 0.09 x cube meter cube It means option c is correct and this is the answer. I hope the question is clear to you Bye and take care