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a rectangular block of metal is 0.24m long, 0.19m wide and 0.15 m high. if the metal block is melted to form a cube, find the length of each side of cube

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Answer:

about 0.19 m

Explanation:

You want the side of a cube with the same volume as a cuboid of dimensions 0.24 m by 0.19 m by 0.15 m.

Volume

The volume of the rectangular prism is ...

V = LWH = (0.24)(0.19)(0.15) m³

The volume of a cube is ...

V = s³

Side length

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

s = ∛V

For a cube of the same volume as the rectangular prism, the side length is ...

s = ∛((0.24×0.19×0.15) ≈ 0.19 . . . . meters

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a rectangular block of metal is 0.24m long, 0.19m wide and 0.15 m high. if the metal-example-1
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