Cube cut

The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.

Correct answer:

S =  203.6468 cm²

Step-by-step explanation:

$$\begin{gathered} a=12\text{ cm } \\ {u}_1=\sqrt{2}\cdot a=\sqrt{2}\cdot 12=12\sqrt{2}\text{ cm}\doteq 16.9706\text{ cm } \\ S=u_1\cdot a=16.9706\cdot 12=144\sqrt{2}=203.6468{\text{cm}}^2 \end{gathered}$$

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