Question

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

Answer 1

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).