Question

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?


Options:
A .  2 : 1
B .  3 : 2
C .  25 : 18
D .  27 : 20
Answer: Option C

Volume of the large cube = (33 + 43 + 53) = 216 cm3.

Let the edge of the large cube be a.

So, a3 = 216     A Large Cube Is Formed From The Material Obtained By Melting...     a = 6 cm.

A Large Cube Is Formed From The Material Obtained By Melting... Required ratio = A Large Cube Is Formed From The Material Obtained By Melting... 6 x (32 + 42 + 52) A Large Cube Is Formed From The Material Obtained By Melting... = 50 = 25 : 18. 6 x 62 36


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