The edges of a cuboid are measured with a scale having an error of \(0.01\) cm per cm. If the dimensions of the cuboid are
\[
(l,b,h)=(12,5,7),
\]
then the percentage error in the volume of the cuboid is
Show Hint
For a product
\[
V=lbh,
\]
the maximum relative error is
\[
\boxed{
\frac{\Delta V}{V}
=
\frac{\Delta l}{l}
+
\frac{\Delta b}{b}
+
\frac{\Delta h}{h}.
}
\]
Multiply the relative error by \(100\) to obtain the percentage error.