Question

three cubes of metal with edges 3 cm ,4 cm ,5 cm respectively are melted to form a single cube . the lateral surface area of new cube formed is

Answer 1

Answer:

144 sq cm

Step-by-step explanation:

volume of 3 cubes = 3×3×3 + 4×4×4  + 5×5×5= 27 + 64 + 125 = 216 cu.cm

Given that, Volume of new cube = volume of 3 cubes = 216 cu.cm

edge length of new cube = cube root of 216 = 6cm

lateral surface area of cube = 4×s×s = 4×6×6 = 144 sq cm