Wall diagonal

Calculate the length of wall diagonal of the cube whose surface is 384 cm square.

Result

u =  11.314 cm

Solution:

S=384 cm2  S=6a2  a=S/6=384/6=8 cm  u=2 a=2 88 211.313711.314 cmS=384 \ \text{cm}^2 \ \\ \ \\ S=6a^2 \ \\ \ \\ a=\sqrt{ S/6 }=\sqrt{ 384/6 }=8 \ \text{cm} \ \\ \ \\ u=\sqrt{ 2 } \cdot \ a=\sqrt{ 2 } \cdot \ 8 \doteq 8 \ \sqrt{ 2 } \doteq 11.3137 \doteq 11.314 \ \text{cm}



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