There is an error of `2%` in the measurement of side of a cube. The percentage error in the calclation of its volume will be :

Options

A. `1%`
B. `2%`
C. `3%`
D. `6%

Explanation

To find the percentage error in the volume of a cube when there is a 2% error in the measurement of its side, we can follow these steps:

### Step 1: Understand the relationship between side length and volume
The volume \( V \) of a cube is given by the formula:
\[ V = a^3 \]
where \( a \) is the length of a side of the cube.

### Step 2: Determine the error in volume based on the error in side length
If there is a percentage error in the measurement of the side length, the percentage error in volume can be derived from the formula for volume.

The formula for percentage error in volume can be expressed as:
\[ \text{Percentage error in } V = 3 \times \text{Percentage error in } a \]

### Step 3: Substitute the given percentage error
Given that the percentage error in the measurement of the side \( a \) is \( 2\% \):
\[ \text{Percentage error in } V = 3 \times 2\% \]

### Step 4: Calculate the percentage error in volume
Now, we can calculate:
\[ \text{Percentage error in } V = 6\% \]

### Final Answer
Thus, the percentage error in the calculation of the volume of the cube is \( 6\% \).

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