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Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - Data Sufficiency 1 (Q.No. 5)
Volume and Surface Area
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
5.

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.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

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).

Discussion:
5 comments Page 1 of 1.
Pooja said:   4 years ago
I. Cube has 6 sides that is 6a^2 so each side means a^2,a^2=64>>a=8 then the volume of a cube is a^3 according to the substitution v=512.

II. For the second, one we can easily substitute in the formula v=512.
SURAJIT HALDER said:   5 years ago
I don't understand this, Anyone explain the answer in detail.
Nandini said:   7 years ago
Please explain it in clear.
Karthik said:   9 years ago
Given answer is wrong. Option E is correct one.

Both the suggestions required to find the volume. You can not calculate volume by either area or length only. It's wrong.
Sandy said:   9 years ago
I am confused, can anyone help me to solve this?
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