The surface area of a cube is increased from 216 square centimetres to 227.664 square centimeters. Use differentials to determine : (a) By approximately how many centimetres does the side length of the cube increase? (b) By approximately how many cubic centimetres does the volume of the cube increase (a) By approximately what percentage does the volume of the cube increase? (a) The side length of the cube increaes by approximately centimetres. (b) The volume of the cube increaes by approximately cubic centimetres. (c) The volume of the cube increaes by approximately % Type EXACT answers using three decimal places as needed.
The surface area of a cube is increased from 216 square centimetres to 227.664 square centimeters. Use differentials to determine : (a) By approximately how many centimetres does the side length of the cube increase? (b) By approximately how many cubic centimetres does the volume of the cube increase (a) By approximately what percentage does the volume of the cube increase? (a) The side length of the cube increaes by approximately centimetres. (b) The volume of the cube increaes by approximately cubic centimetres. (c) The volume of the cube increaes by approximately % Type EXACT answers using three decimal places as needed.
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Transcribed Image Text:The surface area of a cube is increased from 216 square centimetres to 227.664 square
centimeters. Use differentials to determine :
(a) By approximately how many centimetres does the side length of the cube increase?
(b) By approximately how many cubic centimetres does the volume of the cube increase?
(a) By approximately what percentage does the volume of the cube increase?
(a) The side length of the cube increaes by approximately
centimetres.
(b) The volume of the cube increaes by approximately
cubic centimetres.
(c) The volume of the cube increaes by approximately
%
Type EXACT answers using three decimal places as needed.
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