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Volume and Surface Area

Q1:
What is the volume of a cube?
I.  The area of each face of the cube is 64 square metres.
 II.  The length of one side of the cube is 8 metres.

A I alone sufficient while II alone not sufficient to answer

B II alone sufficient while I alone not sufficient to answer

C Either I or II alone sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:D - Both I and II are not sufficient to answer

Let each edge be a metres. Then, I. a2 = 64       a = 8 m        Volume = (8 x 8 x 8) m3 = 512 m3. Thus, I alone gives the answer. II. a = 8 m        Volume = (8 x 8 x 8) m3 = 512 m3. Thus, II alone gives the answer.  Correct answer is (C).



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