document.write( "Question 1114772: A metal cube expands due to it being heated. When the length of an edge of the cube is 4 cm, the volume of a metal cube is increasing at the rate of 0.63 cm3 s-1. What is the rate of change of an edge at this time? \n" ); document.write( "
Algebra.Com's Answer #729742 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The volume of the cube is given by the equation \n" ); document.write( " \n" ); document.write( "The relationship between the rate of change of volume and the rate of change of edge length is found by differentiating that equation: \n" ); document.write( " \n" ); document.write( "It is given that the volume is increasing at a rate of 0.63 cm^3/sec when the edge length is 4 cm, so \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Answer: At the moment when the edge length is 4 cm, it is increasing at the rate of 0.013125 cm/sec. \n" ); document.write( " |