# Cube from sphere

What largest surface area (in cm2) can have a cube that was cut out of a sphere with radius 43 cm?

Result

A =  14792 cm2

#### Solution:

$r=43 \ \text{cm} \ \\ 2r=\sqrt{ 3 } \cdot \ a \ \\ a=2/\sqrt{ 3 } \cdot \ r=2/\sqrt{ 3 } \cdot \ 43 \doteq 49.6521 \ \text{cm} \ \\ A=6 \cdot \ a^2=6 \cdot \ 49.6521^2=14792 \ \text{cm}^2$

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Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

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Math student
Nice puzzle. It took me a moment to realise my mistake and use 3D Pythagoras so I guess a hint might be helpful to others.

Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

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