# Volume of a cuboid given areas of adjacent sides

• October 17th 2009, 04:19 AM
lawsed
Volume of a cuboid given areas of adjacent sides
"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?

• October 17th 2009, 06:49 AM
skeeter
Quote:

Originally Posted by lawsed
"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?

$V = LWH$

let ...

$LW = X$

$WH = Y$

$LH = Z$

$V = LWH = \frac{X}{W} \cdot \frac{Y}{H} \cdot \frac{Z}{L}$

$V = \frac{XYZ}{WHL} = \frac{XYZ}{V}$

$V^2 = XYZ$

$V = \sqrt{XYZ}
$
• October 17th 2009, 06:54 AM
lawsed
Thanks!
Thanks again!