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