Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
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.
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.
Explanation
Let each edge be $a$ metres. Then, I. $a^2=64 \Rightarrow a=8$ m $$\Rightarrow \text{Volume}=(8\times8\times8)\text{ m}^3=512\text{ m}^3.$$ Thus, I alone gives the answer. II. $a=8$ m $\Rightarrow$ Volume $=(8\times8\times8)\text{ m}^3=512\text{ m}^3$. Thus, II alone gives the answer. $\therefore$ Correct answer is (c).
Explanation as extracted from the printed page; notation may be imperfect.