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Question -

Three cubes of metal whose edges are in the ratio 3 : 4 : 5, are melted down into a single cube whose diagonals is 12cm. Find the edges of three cubes.



Answer -

Ratio in the sides of three cubes = 3 : 4 : 5
Let side of first cube = 3x
and side of second cube = 4x
and side of third cube = 5x
тИ┤ Sum of volume of threecubes
= (3x)3┬а+ (4x)3┬а+ (5x)3
= 27x3┬а+ 64x3┬а+ 125x3┬а= 216x3
тИ┤ Volume of the cube formedJby melting these three cubes = 216x3

Side of first cube = 3x = 3 x 2 = 6 cm
Side of second cube = 4x = 4├Ч2 = 8 cm
and side of third cube = 5.r = 5 x 2 = 10 cm

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