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IP1U13 SWII (Pythagoras) Q16

IP1U13 SWII (Pythagoras) Q16

IP 1

A cube fits inside a sphere with all eight vertices on the sphere. The greatest circular cross-section of the sphere, through its centre, has area \(\pi\text{ cm}^2\). Find the side length of the cube.

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Answer:\(\frac{2\sqrt3}{3}\text{ cm}\)

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