Three metal cubes with edges 6cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the diagonal of this cube.
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volume of the first cube = 6×6×6
=216 cm^3
volume of second cube = 512 cm^3
volume of third cube = 1000 cm^3
It is given that the cubes are melted together and formed into a single cube.
So we'll simply add them up = 1000 + 512 + 216
= 1728 cm^3
to find its diagnol......first we'll have to find it's edge =
volume of cube = 1728
a^3 = 1728
a = 12 ( cube root of 1728 )
diagnol of cube = 3a^1/2 ( square
root of 3×edge)
= 20.785
=216 cm^3
volume of second cube = 512 cm^3
volume of third cube = 1000 cm^3
It is given that the cubes are melted together and formed into a single cube.
So we'll simply add them up = 1000 + 512 + 216
= 1728 cm^3
to find its diagnol......first we'll have to find it's edge =
volume of cube = 1728
a^3 = 1728
a = 12 ( cube root of 1728 )
diagnol of cube = 3a^1/2 ( square
root of 3×edge)
= 20.785
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