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The error in measurement of side of a cu...

The error in measurement of side of a cube is 2%. Find the error in the volume of the cube?

Text Solution

Verified by Experts

Given, percentage error in side length a is
`(triangle a)/(a)xx100=2%`
Volume of cube is, `V= a^(3)`
Percentage error in volume of cube is :
`(triangle V)/(V)xx100=3((triangle a)/(a))xx100= 3xx2%= 6%`
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