The volume of the original rectangular prism is:
V1 = length x width x height
V1 = 12 cm x 6 cm x 3 cm
V1 = 216 cm^3
Since copper is a homogeneous substance, the volume of the cube obtained when it is melted and recast is equal to V1. Therefore:
V2 = V1
V2 = edge^3
Substituting V1:
edge^3 = 216 cm^3
Taking the cube root:
edge = 6 cm
Therefore, the edge length of the cube obtained after melting and recasting the copper is 6 centimetres.
A block of copper in the shape of a rectangular prism is 12 centimetres long,
6 centimetres wide, and 3 centimetres high. It is melted and recast into a cube.
Determine the edge length of the cube.
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