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calcular el área total del cubo si s=5√2

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calcular el área total del cubo si s=5√2

Calcular el área total del cubo si s=5√2
Let l the length of a side edge and d the length of diagonal of a side so than using sin we can writing sin45 = l/dsqrt2 /2 = l/dand given that this area s=5sqrt2 what is equal l*d so in this case there are l/d = sqrt2 /2l*d = 5sqrt2   => l = 5sqrt2 /d   and this subtituted in place of l inside the first equation we get (5sqrt2 /d)/d = sqrt2 /25sqrt2 /d^2 = sqrt2 /210sqrt2 = d^2 *sqrt2  divide both sides by sqrt210 = d^2d = sqrt10  so than d = sqrt10 result l = 5sqrt2 /sqrt10 = 5sqrt20 /10 = = sqrt20 /2 = 2sqrt5 /2 = sqrt5l = sqrt5d = sqrt10so area total del cubo = 6*l^2 = 6*(sqrt5)^2 = 6*5 = 30 unit squared so choice d) is right sure hope this will help you  ...

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