Question

A sheet of plastic shrink wrap has a thickness of $0.00015 \mathrm{~mm}$. The sheet is $1.2 \mathrm{~m}$ by $79 \mathrm{~m}$. Determine the volume of the sheet. Write your answer using scientific notation.

Solution

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The volume to be used is $V=lwt$

From the given,

$l=79$ m

$w=1.2$ m

$t=0.00015\text{ mm}=1.5\times10^{-4}\cancel{\text{ mm}}\times\dfrac{1\text{ m}}{10^3\cancel{\text{ mm}}}=1.5\times10^{-7}\text{ m}$

So, the volume is:

$V=(79)(1.2)( 1.5\times10^{-7})$

$V=142.2\times10^{-7}\text{ m}^3$

Round to 2 significant digits and convert to scientific notation:

$\color{#c34632}{V\approx1.4\times10^{-5}\text{ m}^3}$