Question

Find the edge of a cube whose surface area is $432m^2$.

Answer 1

Find the side

Given that, the surface area of the cube is $432m^2$.

Let the edge of the cube be $am$

Formula of the surface area of cube is $6a^2$

Step 1: Find the edge of the cube

So, using the formula and given data, we have,

$$\begin{gathered} \Rightarrow 6a^2=432 \\ \Rightarrow a^2=\frac{432}{6} \\ \Rightarrow a^2=72 \end{gathered}$$

Take square root on both the sides

$$\begin{gathered} \Rightarrow a=\sqrt{36\times 2} \\ \Rightarrow a=6\sqrt{2}m \end{gathered}$$

Hence, the edge of the cube is $6\sqrt{2}m$.