Question
The volume of a cube is increased from 729 cubic centimetres to 849.285 cubic centimetres
Use differentials to determine :
(a) by approximately how many centimetres does the side length of the cube increase?
(b)by approximately how many centimetres does the surface area of the cube increase?
(c) by approximately what percentage does the surface area of the cube increase?
Use differentials to determine :
(a) by approximately how many centimetres does the side length of the cube increase?
(b)by approximately how many centimetres does the surface area of the cube increase?
(c) by approximately what percentage does the surface area of the cube increase?
Answers
Damon
Hint:
http://www.jiskha.com/display.cgi?id=1413053733
http://www.jiskha.com/display.cgi?id=1413053733
Damon
v = x^3
729 = 9^3 so x = 9
dv = 3 x^2 dx = 243 dx = 849.285 - 729
etc
729 = 9^3 so x = 9
dv = 3 x^2 dx = 243 dx = 849.285 - 729
etc
Maria
Use differentials to determine by approximately what percentage does the perimeter of a square table increase if its diagonal is increased from 30 centimetres to 31.245 centimetres