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A spherical solid of volume 123,456 is melted and recast into a solid cube. What is the side length of the cube?

User Blanche
by
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2 Answers

4 votes

Answer:

Explanation:

Let the length of each side of the cube be

x meters.

x3= 123,456

3 square root x3= 3 square root 123,456

x=49.8 m

The length of each side of the cube is

49.8 meters

User Cubic Lettuce
by
3.9k points
3 votes

Answer:

The answer to your question is a = 49.8 u

Explanation:

Data

Volume of the sphere = 123,456

side length of the cube = ?

Process

From the information given, we know that both bodies have the same volume so the volume of the sphere is equal to the volume of the cube.

Volume of the cube = 123,456

Formula to find the volume of a cube

Volume = a³

Then

a³ = 123,456

-Get the cube root

a = 49.8 u

User Tourist
by
4.0k points