En
  • En
WILL MEDAL AND FAN!!! Express the surface area of a cube as a function of the length of a diagonal of one face.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
|dw:1444471441259:dw|
anonymous
  • anonymous
now we can use Pythagorus theorem one one face (Shown above)
anonymous
  • anonymous
|dw:1444471558016:dw|

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anonymous
  • anonymous
i have to leave sorry, perhaps @imqwerty can help?
imqwerty
  • imqwerty
ok :)
En
  • En
My book says that the answer is 3d^2. I dont get it :/
En
  • En
I know that the SA=6s^2 and the diagonal as √3 s.. idk how to go from there :/
imqwerty
  • imqwerty
hah XD this is not correct wait a sec i read it wrong
En
  • En
I keep solving it i only get 2d^2. The answer from my book is 3d^2. This is heartbreaking
imqwerty
  • imqwerty
|dw:1444473276715:dw|by pythagorus theorem \[a^2+a^2=d^2\]\[2a^2=d^2\]\[a=\frac{ d }{ \sqrt{2} }\]surface area is given by-\[Area=6a^2\]putting the value of a we got-\[Area=6 \times \left( \frac{ d }{ \sqrt{2} } \right)^2\]\[Area=6 \times \frac{ d^2 }{ 2}\] \[Area=3d^2\]
anonymous
  • anonymous
sorry, i'm back. ye well done @imqwerty

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