Three metal cubes with edges 6cm, 8 cm and 10 cm respectively melt down and form a single cube.find the diagonal of this new cube
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Answer:
12√3 cm
Step-by-step explanation:
volume of new cube = sum of volumes of three cubes
= 6³+8³+10³ = 216 + 512 + 1000 = 1728 cm³
edge length of new cube = ∛1728 = 12 cm
diagonal length = √3 × s = 12√3 cm
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