Side of a cube measured as 3.405 if the percentage error in measurment of the cube is 3% find the percentage error in it's volume
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Error measurement of the side of the cube = 3.405
Correct measurement of the side of the cube = 3.405 - 3% of 3.405
= 3.405 - 0.10215 = 3.30285
Correct measurement of the volume of the cube = 3.30285^3 = 36.03 (approximately)
Error measurement of the volume of the cube = 3.405^3 = 39.47 (approximately) Error in the volume = 39.47-36.03 = 3.44
Percentage error in the volume
= 3.44/36.03*100% = 9.56% (approximately)
Correct measurement of the side of the cube = 3.405 - 3% of 3.405
= 3.405 - 0.10215 = 3.30285
Correct measurement of the volume of the cube = 3.30285^3 = 36.03 (approximately)
Error measurement of the volume of the cube = 3.405^3 = 39.47 (approximately) Error in the volume = 39.47-36.03 = 3.44
Percentage error in the volume
= 3.44/36.03*100% = 9.56% (approximately)
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