Convert US cup to US tablespoon
Unit definitions
US cup
The US cup is equal to $8$ US fluid ounces.
US tablespoon
$3$ US teaspoons are equal to $1$ US tablespoon.
How to convert US cup to US tablespoon
$$\text{Volume}_{\text{tbsp (us)}} = \text{Volume}_{\text{cup (us)}} \cdot 15.99999997971158640462043462001911$$
Examples
Example 1
Convert $35.0\ \text{cup (us)}$ to $\text{tbsp (us)}$.
$$\text{Volume}_{\text{tbsp (us)}} = 35.0 \cdot 15.99999997971158640462043462001911$$
$$\text{Volume}_{\text{tbsp (us)}} = 559.999999$$
$$\therefore \ 35.0\ \text{cup (us)} = 559.999999 \ \text{tbsp (us)}$$
Example 2
Convert $75.0\ \text{cup (us)}$ to $\text{tbsp (us)}$.
$$\text{Volume}_{\text{tbsp (us)}} = 75.0 \cdot 15.99999997971158640462043462001911$$
$$\text{Volume}_{\text{tbsp (us)}} = 1199.999998$$
$$\therefore \ 75.0\ \text{cup (us)} = 1199.999998 \ \text{tbsp (us)}$$
Example 3
Convert $120.0\ \text{cup (us)}$ to $\text{tbsp (us)}$.
$$\text{Volume}_{\text{tbsp (us)}} = 120.0 \cdot 15.99999997971158640462043462001911$$
$$\text{Volume}_{\text{tbsp (us)}} = 1919.999998$$
$$\therefore \ 120.0\ \text{cup (us)} = 1919.999998 \ \text{tbsp (us)}$$
Example 4
Convert $140.0\ \text{cup (us)}$ to $\text{tbsp (us)}$.
$$\text{Volume}_{\text{tbsp (us)}} = 140.0 \cdot 15.99999997971158640462043462001911$$
$$\text{Volume}_{\text{tbsp (us)}} = 2239.999997$$
$$\therefore \ 140.0\ \text{cup (us)} = 2239.999997 \ \text{tbsp (us)}$$
Example 5
Convert $180.0\ \text{cup (us)}$ to $\text{tbsp (us)}$.
$$\text{Volume}_{\text{tbsp (us)}} = 180.0 \cdot 15.99999997971158640462043462001911$$
$$\text{Volume}_{\text{tbsp (us)}} = 2879.999996$$
$$\therefore \ 180.0\ \text{cup (us)} = 2879.999996 \ \text{tbsp (us)}$$