High School

A solid sphere with a volume of 3125 cm³ is melted down and recast into 200 cubes. Find the length of the side of a cube.

Answer :

Answer:

Volume of sphere = 3125 cm³

Number of cubes = 200

Volume of each cube = Total volume / Number of cubes

= 3125 cm³ / 200

= 15.625 cm³

Since it's a cube, all sides are equal. Let's call the side length "s".

Volume of cube = s³

15.625 cm³ = s³

s = ∛15.625

s = 2.5 cm

So, the length of the side of a cube is 2.5 cm.

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