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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. 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
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What is the volume of a cube?I. The area of each face of the cube is 6...
Let each edge be a metre.
Then, I. a2 = 64
a = 8 m
Volume = (8 × 8 × 8) m3 = 512 m3
Thus, I alone gives the answer.
II. a = 8 m
Volume = (8 × 8 × 8) m3 = 512 m3
Thus, II alone gives the answer.
∴ Correct answer is (c).
Then, I. a2 = 64
a = 8 m
Volume = (8 × 8 × 8) m3 = 512 m3
Thus, I alone gives the answer.
II. a = 8 m
Volume = (8 × 8 × 8) m3 = 512 m3
Thus, II alone gives the answer.
∴ Correct answer is (c).
Most Upvoted Answer
What is the volume of a cube?I. The area of each face of the cube is 6...
Let each edge be a metre Then I. a2=64
a=8m
volume =(8×8×8) m3=512 m3
Thus,l alone gives the
a=8m
volume =(8×8×8) m3=512 m3
Thus,l alone gives the
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Community Answer
What is the volume of a cube?I. The area of each face of the cube is 6...
Statement I: The area of each face of the cube is 64 square meters.
Statement II: The length of one side of the cube is 8 meters.
To find the volume of a cube, we need to know the length of one side of the cube.
Statement I: The area of each face of the cube is 64 square meters.
If the area of each face of the cube is 64 square meters, we can find the length of one side of the cube by taking the square root of the area.
Let's assume the length of one side of the cube is "a".
Therefore, the area of each face of the cube can be represented as "a^2".
Given that "a^2 = 64", we can solve for "a" by taking the square root of both sides.
√(a^2) = √64
a = 8
So, we can determine the length of one side of the cube from Statement I.
Statement II: The length of one side of the cube is 8 meters.
If we know that the length of one side of the cube is 8 meters, we can directly use this information to find the volume of the cube.
The volume of a cube is given by the formula V = a^3, where "a" is the length of one side.
In this case, V = 8^3 = 512 cubic meters.
So, we can determine the volume of the cube from Statement II.
Conclusion:
From Statement I, we can determine the length of one side of the cube.
From Statement II, we can directly determine the volume of the cube.
Therefore, either statement alone is sufficient to answer the question.
Hence, the correct answer is option C - Either I or II alone is sufficient to answer.
Statement II: The length of one side of the cube is 8 meters.
To find the volume of a cube, we need to know the length of one side of the cube.
Statement I: The area of each face of the cube is 64 square meters.
If the area of each face of the cube is 64 square meters, we can find the length of one side of the cube by taking the square root of the area.
Let's assume the length of one side of the cube is "a".
Therefore, the area of each face of the cube can be represented as "a^2".
Given that "a^2 = 64", we can solve for "a" by taking the square root of both sides.
√(a^2) = √64
a = 8
So, we can determine the length of one side of the cube from Statement I.
Statement II: The length of one side of the cube is 8 meters.
If we know that the length of one side of the cube is 8 meters, we can directly use this information to find the volume of the cube.
The volume of a cube is given by the formula V = a^3, where "a" is the length of one side.
In this case, V = 8^3 = 512 cubic meters.
So, we can determine the volume of the cube from Statement II.
Conclusion:
From Statement I, we can determine the length of one side of the cube.
From Statement II, we can directly determine the volume of the cube.
Therefore, either statement alone is sufficient to answer the question.
Hence, the correct answer is option C - Either I or II alone is sufficient to answer.
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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 answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer?
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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 answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 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 answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer?.
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