"The areas of three three adjacent sides of a cuboid are X, Y and Z square meters. Find volume of the cuboid."
Can anybody help me solve the above problem?
Thanks in advance!
$\displaystyle V = LWH$
let ...
$\displaystyle LW = X$
$\displaystyle WH = Y$
$\displaystyle LH = Z$
$\displaystyle V = LWH = \frac{X}{W} \cdot \frac{Y}{H} \cdot \frac{Z}{L}$
$\displaystyle V = \frac{XYZ}{WHL} = \frac{XYZ}{V}$
$\displaystyle V^2 = XYZ$
$\displaystyle V = \sqrt{XYZ}
$