Three metal cubes with edges 15 cm., 12 cm, and 9 cm, respectively are melted toge
and formed into a simple cube. Find the diagonal of this cube.
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volume of cube _ side^3
therefore the the volumes of three cubes are
3375 cm^3,1728 cm^3, 729 cm^3 .
volume of three cube= volume of simple cube
3375 + 1728 + 729 = x^3
5832 = x^3
x = 18
the edge of new cube is 18 cm.
a face of cube is square.
diagonal of square = side× √2
18√2
therefore diagonal of the new cube is 18√2
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