Volume of a cuboid given areas of adjacent sides

**lawsed** · October 17th 2009, 03:19 AM

"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!

**skeeter** · October 17th 2009, 05:49 AM

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?

Thanks in advance!

$V = LWH$

let ...

$LW = X$

$WH = Y$

$LH = Z$

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

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

$V^2 = XYZ$

$V = \sqrt{XYZ}<br />$

**lawsed** · October 17th 2009, 05:54 AM

Thanks again!

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