Question

A solid metal sphere of volume 1280cubic centimeters

is melted down and recast into 20 equal solid cubes.fund length of the side of each cube
a solid m or a solid m fear of volume ​

Answer 1

To find the length of the side of each cube, we first need to determine the total volume of the recast metal.

As we know the sphere has a volume of 1280 cubic centimeters, and it is being recast into 20 equal solid cubes.

The volume of each cube is the same, so we can divide the total volume of the sphere by the number of cubes to find the volume of each cube:

Volume of each cube = 1280 cm^3 / 20 = 64 cm^3

The volume of a cube is given by the formula: V = s^3, where s is the length of a side.

so, s^3 = 64 cm^3

solving for s, we get s = ∛64 = 4cm

So, the length of the side of each cube is 4 cm.