Question

if three cubes of metal whose edges are 6,8 and 10 cm are melted and made a cube.find the edge of the new cube so formed?​

Answer 1

Answer:

Step-by-step explanation:

Volume of cube = a³

Volume of 1st cube = 6³= 216 cm³

Volume of 2nd cube = 8³= 512 cm³

Volume of 3rd cube = 10³= 1000 cm³

Total volume if metal obtained by melting the three cubes = 216+512+1000 = 1728 cm³

Therefore, Volume if new cube = 1728 cm³

Therefore, Edge if new cube = ³√1728 = 12 cm

Thus, the edge of the new cube formed by melting the three cubes is 12 cm.

Hope this helps.....