Find the volume (in `cm^3`) of a cube of side 7.5 cm.

Options

A. 421.875
B. 77.145
C. 39.245
D. 24.435

Answer

To find the volume of a cube with a given side length, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formula for the volume of a cube**:
The volume \( V \) of a cube is calculated using the formula:
\[ V = a^3 \]
where \( a \) is the length of a side of the cube.

2. **Identify the side length**:
In this problem, the side length \( a \) is given as 7.5 cm.

3. **Calculate the volume**:
Substitute the value of \( a \) into the volume formula:
\[ V = (7.5)^3 \]

4. **Calculate \( 7.5^3 \)**:
To calculate \( 7.5^3 \):
\[ 7.5^3 = 7.5 \times 7.5 \times 7.5 \]
First, calculate \( 7.5 \times 7.5 \):
\[ 7.5 \times 7.5 = 56.25 \]
Now multiply this result by 7.5:
\[ 56.25 \times 7.5 = 421.875 \]

5. **Final result**:
Therefore, the volume of the cube is:
\[ V = 421.875 \, \text{cm}^3 \]

### Final Answer:
The volume of the cube is \( 421.875 \, \text{cm}^3 \).

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