There is a wooden sphere of radius 6 \sqrt3 cm. The surface area of the largest possible cube cut out from the sphere will be

SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 67 of 100

Marks: +1, -0

There is a wooden sphere of radius

6 √3

cm. The surface area of the largest possible cube cut out from the sphere will be

Solution:

(1)

Diagonal of cube = Diameter of sphere

=6√{3} × 2=12√{3} {\cm}

∴ Edge of cube

= {12√{3}}/{√{3}}=12\cm

∴ Surface area of cube

= 6 × (\edge)^2

= (6 × 12 × 12) sq. cm.= 864 sq. cm.

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