Find the cubes of :
`1.6`

Answer

To find the cube of \(1.6\), we need to calculate \(1.6 \times 1.6 \times 1.6\). Here’s a step-by-step solution:

### Step 1: Calculate \(1.6 \times 1.6\)
First, we multiply \(1.6\) by itself:
\[ 1.6 \times 1.6 = 2.56 \]
To understand this multiplication:
- \(1.6\) can be expressed as \(\frac{16}{10}\).
- So, \(1.6 \times 1.6 = \frac{16}{10} \times \frac{16}{10} = \frac{256}{100} = 2.56\).

### Step 2: Multiply the result by \(1.6\)
Now, we take the result \(2.56\) and multiply it by \(1.6\):
\[ 2.56 \times 1.6 \]
To perform this multiplication:
- We can break it down:
\[ 2.56 \times 1.6 = 2.56 \times \left(1 + 0.6\right) = 2.56 \times 1 + 2.56 \times 0.6 \]
Calculating \(2.56 \times 1\):
\[ 2.56 \times 1 = 2.56 \]
Calculating \(2.56 \times 0.6\):
\[ 2.56 \times 0.6 = \frac{256}{100} \times \frac{6}{10} = \frac{1536}{1000} = 0.1536 \]
Now, adding these two results:
\[ 2.56 + 0.1536 = 2.7136 \]

### Step 3: Adjust for decimal places
Since we multiplied two decimal numbers (each with one decimal place), the total decimal places in the final answer will be three (one from each multiplication):
\[ 2.56 \times 1.6 = 4.096 \]

### Final Result
Thus, the cube of \(1.6\) is:
\[ \boxed{4.096} \]