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- A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side.
Question 1:
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 : 1
C. 25 : 18
Feedback Volume of the large cube = (33+43+53) = 216 cu.cm.
Let the edge of the large cube be a.
So, a^3= 216
=>a = 6 cm.
Required ratio = 6(3^2+4^2+5^2)/6(6^2)=25/18
Let the edge of the large cube be a.
So, a^3= 216
=>a = 6 cm.
Required ratio = 6(3^2+4^2+5^2)/6(6^2)=25/18
D. 27 : 20
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