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Areas of three faces of a cuboid are x, y, and z respectively.then the volume of cuboid will be A) xyz B) x²y²z² C)√xyz D)3√xyz The Answer is option C explain?
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Areas of three faces of a cuboid are x, y, and z respectively.then the...
Explanation:
Given Information:
- Let the dimensions of the cuboid be length = a, width = b, height = c.
- The areas of the three phases are x, y, and z respectively.
Formula:
- The volume of a cuboid is given by the formula: Volume = Length x Width x Height.
Deriving the Relationship:
- The areas of the phases can be expressed as:
- x = a x b (area of the phase with dimensions a and b)
- y = b x c (area of the phase with dimensions b and c)
- z = a x c (area of the phase with dimensions a and c)
- Multiplying all three equations, we get:
- x * y * z = a * a * b * b * c * c
- x * y * z = (a * b * c) ^ 2
- Taking the square root on both sides, we get:
- √(x * y * z) = a * b * c
Conclusion:
- Therefore, the volume of the cuboid is given by the formula: Volume = √(x * y * z).
- Hence, the correct answer is option C) √(xyz).
Given Information:
- Let the dimensions of the cuboid be length = a, width = b, height = c.
- The areas of the three phases are x, y, and z respectively.
Formula:
- The volume of a cuboid is given by the formula: Volume = Length x Width x Height.
Deriving the Relationship:
- The areas of the phases can be expressed as:
- x = a x b (area of the phase with dimensions a and b)
- y = b x c (area of the phase with dimensions b and c)
- z = a x c (area of the phase with dimensions a and c)
- Multiplying all three equations, we get:
- x * y * z = a * a * b * b * c * c
- x * y * z = (a * b * c) ^ 2
- Taking the square root on both sides, we get:
- √(x * y * z) = a * b * c
Conclusion:
- Therefore, the volume of the cuboid is given by the formula: Volume = √(x * y * z).
- Hence, the correct answer is option C) √(xyz).
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Areas of three faces of a cuboid are x, y, and z respectively.then the volume of cuboid will be A) xyz B) x²y²z² C)√xyz D)3√xyz The Answer is option C explain?
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Areas of three faces of a cuboid are x, y, and z respectively.then the volume of cuboid will be A) xyz B) x²y²z² C)√xyz D)3√xyz The Answer is option C explain? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Areas of three faces of a cuboid are x, y, and z respectively.then the volume of cuboid will be A) xyz B) x²y²z² C)√xyz D)3√xyz The Answer is option C explain? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Areas of three faces of a cuboid are x, y, and z respectively.then the volume of cuboid will be A) xyz B) x²y²z² C)√xyz D)3√xyz The Answer is option C explain?.
Areas of three faces of a cuboid are x, y, and z respectively.then the volume of cuboid will be A) xyz B) x²y²z² C)√xyz D)3√xyz The Answer is option C explain? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Areas of three faces of a cuboid are x, y, and z respectively.then the volume of cuboid will be A) xyz B) x²y²z² C)√xyz D)3√xyz The Answer is option C explain? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Areas of three faces of a cuboid are x, y, and z respectively.then the volume of cuboid will be A) xyz B) x²y²z² C)√xyz D)3√xyz The Answer is option C explain?.
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