Question

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
1. 464√3 cm2
2. 644√3 cm2
3. 864 cm²
4. 446 cm2

Answer 1

"Correct Answer - Option 3 : 864 cm²

Given:

There is a wooden sphere of radius 6√3 cm.

Concept used:

If we cut out largest possible cube from the sphere, the diagonal of the cube will be equal to the diameter of the sphere.

Formula used:

Surface area of a cube = 6a²

Calculation:

Let the side of a cube be a.

√3a = 2 × 6√3

⇒ a = 12 cm.

Surface area of a cube = 6 × 12 × 12 = 864 cm²

∴ The surface area of the largest possible cube cut out from the sphere will be 864 cm².

 

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