Question

A metal cube of edge 9cm is melted and formed into three smaller cubes. if the edges of two smaller cubes are 1cm and 6cm, find the edge of the third smaller cube

Answer 1

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Answer 2

edge of the original cube= 9 cm
therefore. Volume of the original cube= 9^3= 729cmcube
edges of two smaller cubes are 1 cm and 6 cm
therefore, sum of volumes of two smaller cubes=1cube +6 cube= 1 + 216 = 217cm cube
therefore, volume of the third cube= 729- 217=512 cm cube
therefore, edge of the third cube= 3√512= 8cm