The largest possible cube is made from a

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The largest possible cube is made from a wooden sphere of radius $6\sqrt{3}$. cm Find the surface area of the cube.

Options:

864 cm²

542 cm²

735 cm²

625 cm²

Correct Answer:

864 cm²

Explanation:

diameter of sphere = distance between two diagonally opposite corners of cube

$12\sqrt{3}=5\sqrt{3}$

(S → side of cube)

so = S = 12 cm

Total surface area = $6s^2$

$=864cm^2$