Find the volume (in `cm^(3)`) of a cube of side 3.5 cm.

Options

A. 69.845
B. 42.875
C. 19.765
D. 11.165

Answer

To find the volume of a cube with a side length of 3.5 cm, we can follow these steps:

### Step 1: Understand 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.

### Step 2: Identify the side length
In this problem, the side length \( a \) is given as 3.5 cm.

### Step 3: Substitute the side length into the formula
Now, we substitute \( a = 3.5 \) cm into the volume formula:
\[ V = (3.5)^3 \]

### Step 4: Calculate \( 3.5^3 \)
To calculate \( 3.5^3 \), we can multiply:
\[ 3.5 \times 3.5 = 12.25 \]
Now, we multiply \( 12.25 \) by \( 3.5 \):
\[ 12.25 \times 3.5 = 42.875 \]

### Step 5: Write the final answer
Thus, the volume of the cube is:
\[ V = 42.875 \, \text{cm}^3 \]

### Summary
The volume of a cube with a side of 3.5 cm is \( 42.875 \, \text{cm}^3 \).

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