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anyanavicka [17]
3 years ago
14

The distance between the red and blue balls at the corners of this cube is0.448 nm :Calculate the distance between the red and g

reen balls. Round your answer to significant digits, and be sure it has the correct unit symbol.

Chemistry
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

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

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{\frac{y^2}{3}}=0.2586 nm\approx 0.259 nm

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

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