1.

If there is an error of a% in measuring the edge of a cube, thenpercentage error in its surface is2a% (b)`a/2%`(c) `3a %`(d) none of these

Answer» let x be the edge of cube
`(dx)/x xx 100 = a`
surface area of cube , `s= 6x^2`
diff wrt x
`(ds)/(dx) = 12x`
`(ds)/s xx 100 = ( 12x xx dx)/(6x^2) xx 100`
`= (12x xx (ax)/100)/(6x^2) xx 100`
`= (12ax^2)/(6x^2 xx 100) xx 100`
`= 2a`
`(ds)/s xx 100 = 2a`
`2a%`changes occur while measuring the edge
option a is correct


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