# Box Problem Redux

**Number Theory**Level 5

Find **largest** 9 consecutive integers that can be arranged such that they satisfy the equation above.

What is the value of \(g \times h \times i\)?

That is, sum of the volumes of two boxes equals that of the third box. What is the volume of the third box?

**Note**: The integers \(a, b, c,\ldots, i\) are not necessarily in order. Only that 9 consecutive integers are used, each once.