Question:
If the areas of three adjacent face of a cuboid are $8 \mathrm{~cm}^{3}, 18 \mathrm{~cm}^{3}$ and $25 \mathrm{~cm}^{3}$. Find the volume of the cuboid.
Solution:
WKT, if x, y, z denote the areas of three adjacent faces of a cuboid.
= x = l * b, y = b * h, z = l * h
Volume (V) is given by
V = l * b * h
Now, $x y z=\mid b$ * $b h$ * $h \mid=v^{2}$
Here x = 8
y = 18
z = 25
Therefore, $v^{2}=8 * 18 * 25=3600$
$\Rightarrow \mathrm{V}=60 \mathrm{~cm}^{3}$
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