Question

If the error in the measurement of side of a cube is 1%, then percentage error in determination of surface area of cube is ______.

Answer 1

Answer:

6 is the answer

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Answer 2

Answer:

The Correct Answer would be 2%. The percentage error would be 2% of a cube, if the error in side of the cube is 1%.

Explanation:

We are given the percentage error of sides of a cube.

Percentage error is found in the estimated value of a quantity. When the practically found value of an identity differs from the calculated value, which is done through formula.

The formula for percentage error is: $\frac{calculated \\v\\alue - original value}{calculated value}$ × 100

Now, we know that surface area of a cube = 6a²

where, a = side of cube.

Now, if the side of cube has an error of 1%, then according to formula, the error in the surface area would be 2 ×1% = 2%, because the number in the power always gets multiplied when calculating the percentage error.

Hence,  percentage error in determination of surface area of cube is 2%.