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If a cube has surface area S and volume V , then find the volume of the cube of surface area 28. Options - A. 2V B. 2÷2V C. 4V?
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If a cube has surface area S and volume V , then find the volume of th...
Approach:
To find the volume of a cube given its surface area, we first need to find the side length of the cube using the given surface area. Once we have the side length, we can easily calculate the volume of the cube.
Calculations:
1. Given surface area of the cube = 28
2. Surface area of a cube = 6 * side^2, where side is the length of each side of the cube
3. Therefore, 6 * side^2 = 28
4. Dividing by 6 on both sides, we get side^2 = 28/6 = 4.67
5. Taking square root on both sides, we get side = √4.67 ≈ 2.16
6. Volume of a cube = side^3
7. Therefore, Volume = (2.16)^3 ≈ 10.53
Conclusion:
The volume of the cube with a surface area of 28 is approximately 10.53. Hence, the correct option is B. 2÷2V.
To find the volume of a cube given its surface area, we first need to find the side length of the cube using the given surface area. Once we have the side length, we can easily calculate the volume of the cube.
Calculations:
1. Given surface area of the cube = 28
2. Surface area of a cube = 6 * side^2, where side is the length of each side of the cube
3. Therefore, 6 * side^2 = 28
4. Dividing by 6 on both sides, we get side^2 = 28/6 = 4.67
5. Taking square root on both sides, we get side = √4.67 ≈ 2.16
6. Volume of a cube = side^3
7. Therefore, Volume = (2.16)^3 ≈ 10.53
Conclusion:
The volume of the cube with a surface area of 28 is approximately 10.53. Hence, the correct option is B. 2÷2V.
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If a cube has surface area S and volume V , then find the volume of the cube of surface area 28. Options - A. 2V B. 2÷2V C. 4V?
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If a cube has surface area S and volume V , then find the volume of the cube of surface area 28. Options - A. 2V B. 2÷2V C. 4V? 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 If a cube has surface area S and volume V , then find the volume of the cube of surface area 28. Options - A. 2V B. 2÷2V C. 4V? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a cube has surface area S and volume V , then find the volume of the cube of surface area 28. Options - A. 2V B. 2÷2V C. 4V?.
If a cube has surface area S and volume V , then find the volume of the cube of surface area 28. Options - A. 2V B. 2÷2V C. 4V? 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 If a cube has surface area S and volume V , then find the volume of the cube of surface area 28. Options - A. 2V B. 2÷2V C. 4V? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a cube has surface area S and volume V , then find the volume of the cube of surface area 28. Options - A. 2V B. 2÷2V C. 4V?.
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