What is the volume of the cuboid when the area of the three faces passing through the same vertex of the cuboid is 2, 4 and 8 There should be formula and written narration. Thank you

What is the volume of the cuboid when the area of the three faces passing through the same vertex of the cuboid is 2, 4 and 8 There should be formula and written narration. Thank you

Let length, width and height be ABC
Then AB = 2 1
AC=4 2
BC=8 3
From 1, B = A / 2 4
From 2, C = A / 4 5
Substituting 4,5 into 3
The solution is a = 1, B = 2, C = 4
Then the volume is 1x2x4 = 8
A: the volume is 8