Three cubes of metal whose edges are in the ratio 3:4:5 are melted down into a single cube whose diagonal is 12 cm. Find the edges if the three cubes.
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let the sides of the 3 cubes be, 3x, 4x, 5x
their volume will be = (3x)^3, (4x)^3, (5x)^3
volumes = 27x^3, 64x^3, 125x^3
volumes of the larger cube = 12^3 = 1728
x^3(27 + 64 + 125) = 1728
216x^3 = 1728
x^3 = 1728/216
x^3 = 8
x= 2
thus, the sides of the three small cubes are ; (6 , 8 , 10) cm
Hope it is helpful!!!!!
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