Three faces of a rectangular box have areas 6, 8, 12. Find the volume of the box.
So let the width, height, and length be x, y, and z. We are trying to find the volume, which is xyz.
xy = 6
xz = 8
yz = 12
Multiply all these equations together.
\((xyz)^2 =12*8*6\)
Take the square root of both sides, which is our final answer.
\(xyz=24\)