Question

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

Answer 1

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