There is a wooden sphere of radius 15√3 cm. The total surface area of the largest possible cube cut out from the sphere will be :
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5,400 cm2
Given that
The radius of the wooden sphere = 15√3 cm
The diameter of the sphere (d) = 2 × radius = 2 × 15√3 = 30√3 cm
As shown in the figure
The diameter of the sphere = the diagonal of the cube = 30√3 cm
s√3 = 30√3 cm
The side of the cube ( s ) = 30 cm
Hence, the total surface area of the cube = 6 s2 = 6 × 302 = 5400 cm2