The largest possible cube is inscribed in a hemisphere with the radius of 6 \sqrt2 cm. Find the diagonal of the cube inscribed in the hemisphere

Mensuration Practice Test 5

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The largest possible cube is inscribed in a hemisphere with the radius of 6

√2

cm. Find the diagonal of the cube inscribed in the hemisphere

Solution:

Edge of the cube = Radius

√{2/3}

6√2 × √{2/3}

{12}/√3

Diagonal of cube =

√3 × {12}/√3

= 12 cm

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