The edge of a cube is doubled. Then its volume becomes ______ times the actual valume.
A)4
B)6
C)8
D) 3

Options

A. 4
B. 6
C. 8
D. 3

Answer

To solve the problem, we need to determine how many times the volume of a cube increases when its edge is doubled.

### Step-by-Step Solution:

1. **Understand the Volume Formula**:
The volume \( V \) of a cube with edge length \( a \) is given by the formula:
\[ V = a^3 \]

2. **Calculate the Original Volume**:
Let the original edge length of the cube be \( a \).
Therefore, the original volume \( V_{\text{original}} \) is:
\[ V_{\text{original}} = a^3 \]

3. **Double the Edge Length**:
If the edge length is doubled, the new edge length becomes \( 2a \).

4. **Calculate the New Volume**:
Now, we calculate the volume of the cube with the new edge length \( 2a \):
\[ V_{\text{new}} = (2a)^3 \]
Simplifying this, we get:
\[ V_{\text{new}} = 2^3 \cdot a^3 = 8a^3 \]

5. **Determine the Increase in Volume**:
To find out how many times the new volume is compared to the original volume, we take the ratio of the new volume to the original volume:
\[ \text{Increase Factor} = \frac{V_{\text{new}}}{V_{\text{original}}} = \frac{8a^3}{a^3} = 8 \]

6. **Conclusion**:
Thus, when the edge of the cube is doubled, its volume becomes **8 times** the original volume.

### Final Answer:
The volume becomes **8 times** the actual volume.