Asked by julia

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?

Answers

Answered by Damon
Hint:
http://www.jiskha.com/display.cgi?id=1413053733
Answered by Damon
v = x^3
729 = 9^3 so x = 9
dv = 3 x^2 dx = 243 dx = 849.285 - 729
etc
Answered by 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
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