Question

The largest cube is carved out of a sphere of diameter $10\sqrt{3}cm$. Find the volume of the cube.

• A. $180c{m}^3$
• B. $1000c{m}^3$
• C. $100\sqrt{3}c{m}^3$
• D. $80c{m}^3$

Answer 1

The correct option is B

$1000c{m}^3$

The diamater of the circle will the diagonal of the cube.

Diagonal of a cube is given by. $side\times \sqrt{3}$.

If the diagonal is $10\sqrt{3}$ then its side = 10cm

$\therefore$ volume = $10cm\times 10cm\times 10cm$ = $1000c{m}^3$