Question

Find the TSA(Total Surface Area) of a cube whose volume is 49 cm cubed.
(Hint:Find the side/length of the cube and then find the volume)

Answer 1

Dear student
$$\begin{gathered} \mathrm{Volume}\mathrm{of}\mathrm{cube}=49{\mathrm{cm}}^3 \\ \mathrm{Also}\mathrm{we}\mathrm{know}\mathrm{that}\mathrm{V}={\mathrm{a}}^3\mathrm{where}\mathrm{a}\mathrm{is}\mathrm{the}\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{cube} \\ \Rightarrow 49={\mathrm{a}}^3 \\ \Rightarrow \mathrm{a}=3.65\mathrm{cm} \\ \mathrm{And}\mathrm{TSA}\mathrm{of}\mathrm{cube}=6{\mathrm{a}}^2 \\ \Rightarrow \mathrm{TSA}=6\times 3.{65}^2 \\ \Rightarrow \mathrm{TSA}=79.935{\mathrm{cm}}^2 \end{gathered}$$
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