Science & Mathematics » Mathematics » What is the volume of the largest (shape) that can fit inside a (shape)?

What is the volume of the largest (shape) that can fit inside a (shape)?

for example, What is the volume of the biggest sphere that can fit in a cube with a volume of 216cm3

do i have to get the sides of the cube first? so it'll be 2 sq. of 54. what do i do next? i know the formula for the volumes of each shape... but i dont quite know how "fit this into this" questions work. thank you!

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