Question 1105247
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The bottom of the box has dimensions 24cm by 7cm.  The diagonal of the bottom of the box, by the Pythagorean Theorem, has length 25cm.<br>
The 40 degree angle is formed by the bottom of the box, the rod, and the height of the box, with the rod being the hypotenuse of the right triangle.  Then
{{{tan(40) = h/25}}}
{{{.839 = h/25}}}
{{{h = 20.975}}}<br>
The volume of the box is {{{20.975*24*7 = 3523.8}}}<br>
If you need a more accurate answer you can keep more digits of tan(40).