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Question

Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume surface area and diagonal of the new cube.

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Solution

Edge of first cube = 6 cm

Edge of second cube = 8 cm

and edge of third cube = 10 cm

Volume of 3 cubes = (6)3+(8)3+(10)3 cm3

=216+512+1000 cm3

=1728 cm3

Edge of so formed cube

=31728=12 cm

Now surface area = 6 (side)2

=6×12×12=864 cm3

and length of diagonal =3×side

=3×12=123 cm


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