Cube cut

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

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≐203.6468≐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 \doteq 144 \ \sqrt{ 2 } \doteq 203.6468 \doteq 203.647 \ \text{cm}^2

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