Find the volume (in `cm^(3)`) of a cube of side 6.5 cm.

Options

A. 56.515
B. 274.625
C. 35.605
D. 14.925

Answer

To find the volume of a cube with a given side length, we can use the formula for the volume of a cube:

### Step-by-Step Solution:

1. **Identify the formula for the volume of a cube**:
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.

2. **Substitute the given side length**:
In this case, the side length \( a \) is 6.5 cm. Therefore, we substitute this value into the formula:
\[ V = (6.5 \, \text{cm})^3 \]

3. **Calculate \( 6.5^3 \)**:
To find \( 6.5^3 \), we can multiply 6.5 by itself three times:
\[ V = 6.5 \times 6.5 \times 6.5 \]

First, calculate \( 6.5 \times 6.5 \):
\[ 6.5 \times 6.5 = 42.25 \]

Now, multiply this result by 6.5:
\[ V = 42.25 \times 6.5 \]

Performing this multiplication:
\[ V = 274.625 \, \text{cm}^3 \]

4. **Final Result**:
The volume of the cube is:
\[ V = 274.625 \, \text{cm}^3 \]