Question

A cuboidal room has dimensions 20 m * 10 m * 5m and a cubical room has dimensions 10 m * 10 m *10 m find the ratio of their tsa

Answer 1

$$\begin{gathered} \mathrm{Ratio}\mathrm{of}\mathrm{TSA} \\ =\frac{\mathrm{TSA}\hspace{0.17em}\mathrm{of}\mathrm{first}\mathrm{cuboidal}\mathrm{room}}{\mathrm{TSA}\mathrm{of}\mathrm{second}\mathrm{cubical}\mathrm{room}} \\ =\frac{2\left(\mathrm{lb}+\mathrm{bh}+\mathrm{hl}\right)}{6{\mathrm{a}}^2}=\frac{2\times \left(200+50+100\right)}{6\times 100} \\ =\frac{700}{600}=\frac{7}{6} \end{gathered}$$