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The distance between the red and blue balls at the corners of this cube is0.448 nm :Calculate the distance between the red and green balls. Round your answer to significant digits, and be sure it has the correct unit symbol.

User Weizer
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Answer:

0.259 nm is the distance between the red and green balls.

Step-by-step explanation:

Let the distance between the red and green ball be = RG =x

Let distance between blue and red ball = RB =y = 0.448 nm

Let distance between blue and green ball = GB = z

In triangle RGB


RB^2=RG^2+GB^2 ( Pythagoras theorem)


y^2=x^2+z^2..[1]

In triangle GOB


GB^2=GO^2+OB^2 ( Pythagoras theorem)

GO = OB = sides of cube


x^2+x^2=z^2


2x^2=z^2..[2]

Using [2] in [1]:


y^2=x^2+2x^2


y^2=3x^2


x=\sqrt{(y^2)/(3)}=0.2586 nm\approx 0.259 nm

0.259 nm is the distance between the red and green balls.

The distance between the red and blue balls at the corners of this cube is0.448 nm-example-1
User Gerrit Beuze
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