Question

47. If error in measurement of a length of a
cube is 3%, what is error in area of its
one side ?
(a) 3% (b) 12% (c) 9% (d) 6%

Answer 1

Answer:

(d)

(is the best answer

Explanation:

becoz, just see the pic

Answer 2

Answer:

The correct answer is

(D) 6%

Explanation:

Given in the question -

The error in measurement of length a of the cube is 3%.

We have to find the error in measurement in the area of one side.

We know that area of one side of the cube is given by -

$A = a^2$

so the error in the measurement of the area will be given by -

$\frac{\Delta A}{A} =2(\frac{\Delta a}{a} )$

The percentage error in the measurement will be given by -

$\frac{\Delta A}{A}\times 100 =2(\frac{\Delta a}{a} \times100)\\\\\frac{\Delta A}{A}\times 100 = 2\times 3\%= 6\%$

So, the error in measurement of the area will be 6%.

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