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Shape Conversion of Solids

ntThe relativ...

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ntThe relative error in the measurement of the side of a cube is 0.027. The relative error in the measurement of its volume is ?n

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Q. If there is an error of

0.05 c m

in the measurement of the side as

2 c m

of a cube, then relative error in the volume is

Q. A cuboid has volume

V = 1 \times 2 l \times 3 l

1

is the length of one side. If the relative percentage error in the measurement of

l

1 %

, then the relative percentage error in measurement of

V

Q. If the relative error in measuring the radius of a circular plane is α, find the relative error in measuring its area.

0.02

cm is made in the measurement of a line

10

cm long, while an error of only

0.2

cm is made in a measurement of a line

100

cm long. In comparison with the relative error of the first measurement, the relative error of the second measurement is:

Q. The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively

1.5 %

1 %

, the maximum error in determining the density is?

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