Question

Find the possible dimensions of a plastic cuboidal storage unit with volume (5m³ – 45m) cu. Cm.

Answer 1

Dear Student,

$$\begin{gathered} 5{\mathrm{m}}^3-45\mathrm{m} \\ =5\mathrm{m}\left({\mathrm{m}}^2-9\right) \\ =5\mathrm{m}\left(\mathrm{m}+3\right)\left(\mathrm{m}-3\right)\left(\mathrm{Since}{\mathrm{a}}^2-{\mathrm{b}}^2=\left(\mathrm{a}+\mathrm{b}\right)\left(\mathrm{a}-\mathrm{b}\right)\right) \\ \mathrm{Possible}\mathrm{dimensions}\mathrm{are}5\mathrm{m},\left(\mathrm{m}+3\right)\mathrm{and}\left(\mathrm{m}-3\right). \end{gathered}$$

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