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Volume and Surface Area - General Aptitude

Q1:

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A 2 : 1

B 3 : 2

C 25 : 18

D 27 : 20

ANS:C - 25 : 18

Volume of the large cube = (33 + 43 + 53) = 216 cm3. Let the edge of the large cube be a. So, a3 = 216          a = 6 cm.

 Required ratio = 6 x (32 + 42 + 52) = 50 = 25 : 18.
6 x 62 36