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Question

Three cubes with sides in the ratio 3 : 4 : 5 are melted to form a single cube whose diagonal is 123 cm. The sides of the cubes are

A
3 cm, 4 cm, 5 cm
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B
6 cm, 8 cm, 10 cm
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C
9 cm, 12 cm, 15 cm
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D
None of these
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Solution

The correct option is B 6 cm, 8 cm, 10 cm
Let the length of side of a cube be 'a' (by cube) then
diagonal length =3a=123a=12
Vol. of 3 small cube = Vol. of bid cube
(3x)3+(4x)3+(5x)3=123x3=1728216
x=2sideslengthare6,8,10cm

1117291_520579_ans_5149ba43e5f043fcbc7b05b71ee1eca0.jpg

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