The total area of all the faces of a cuboid is 22 cm2, and the total length of all its edges is 24 cm. Find the length of any one of its internal diagonals.
I can't seem to get this, so any help appreciated
The total area of all the faces of a cuboid is 22 cm2, and the total length of all its edges is 24 cm. Find the length of any one of its internal diagonals.
Suppose that are the lengths of the sides.
The length of the diagonal is .
Hint: what is
Ok thanks for the reply. I've already managed to get these equations from the question:
22=2(ab+ac+bc)
24=4(a+b+c)
d= .
but I can't manage to work out how to get the lengths?
We do not need the lengths.
All we need to know is
Note that
BTW: You can use LaTeX directly here.
[TEX]\sqrt{a^2+b^2+c^2}[/TEX] gives