Cube cut

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

Correct result:

S =  203.647 cm2

Solution:

a=12 cm u1=2⋅ a=2⋅ 12≐12 2 cm≐16.9706 cm  S=u1⋅ a=16.9706⋅ 12=144 2=203.647 cm2a=12 \ \text{cm} \ \\ u_{1}=\sqrt{ 2 } \cdot \ a=\sqrt{ 2 } \cdot \ 12 \doteq 12 \ \sqrt{ 2 } \ \text{cm} \doteq 16.9706 \ \text{cm} \ \\ \ \\ S=u_{1} \cdot \ a=16.9706 \cdot \ 12=144 \ \sqrt{ 2 }=203.647 \ \text{cm}^2

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