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A metal cube of volume 2933 cu.cm is melted and three smaller cubes are made out of it. If the edges of two smaller cubes are 5 cm and 4 cm, find the edge

of the third smaller cube



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Volume of bigger metal cube=2933cu.cm
volume  of 1st smaller cube = 5^3 = 125 cu.cm
volume of 2nd smaller cube = 4^3 = 64 cu.cm

volume of 3rd smaller cube = 2933-(125+64)
                                        = 2933 - 189
                                        = 2744
=> volume of 3rd small cube = a^3 = 2744
edge of the 3rd small cube = cube root of 2744 i.e. = 14
this implies that edge of the 3rd cube = 14cm
1 5 1
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