Question

the lateral surface area of a cube is 324 cm². find its volume and the total surface area

Answer 1

Let a = length of each edge of the cube
LSA of cube = 324 cm²

$$\begin{gathered} \Rightarrow 4s^2=324 \\ \Rightarrow s^2=81 \\ \Rightarrow s=9cm \end{gathered}$$

$$\begin{gathered} TSA=6s^2=6(9{)}^2=6\times 81=486c{m}^2 \\ volume=s^3=9^3=729c{m}^3 \end{gathered}$$