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The total surface area of a cube is 486 m2. Then what is its side?
- a)7 cm
- b)8 cm
- c)9 cm
- d)12 cm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The total surface area of a cube is 486 m2. Then what is its side?a)7 ...
Total surface area of cube = 486 (Given)
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The total surface area of a cube is 486 m2. Then what is its side?a)7 ...
To find the side length of the cube, we need to use the formula for the surface area of a cube.
The surface area of a cube is given by the formula:
Surface Area = 6 * (side length)^2
Given that the total surface area of the cube is 486 m^2, we can substitute this value into the formula and solve for the side length.
Let's solve the equation step by step:
1. Write the formula for the surface area of a cube:
Surface Area = 6 * (side length)^2
2. Substitute the given value of the total surface area:
486 = 6 * (side length)^2
3. Divide both sides of the equation by 6 to isolate the (side length)^2:
486/6 = (side length)^2
4. Simplify the equation:
81 = (side length)^2
5. Take the square root of both sides to solve for the side length:
√81 = √(side length)^2
9 = side length
Therefore, the side length of the cube is 9 cm (Option C).
The surface area of a cube is given by the formula:
Surface Area = 6 * (side length)^2
Given that the total surface area of the cube is 486 m^2, we can substitute this value into the formula and solve for the side length.
Let's solve the equation step by step:
1. Write the formula for the surface area of a cube:
Surface Area = 6 * (side length)^2
2. Substitute the given value of the total surface area:
486 = 6 * (side length)^2
3. Divide both sides of the equation by 6 to isolate the (side length)^2:
486/6 = (side length)^2
4. Simplify the equation:
81 = (side length)^2
5. Take the square root of both sides to solve for the side length:
√81 = √(side length)^2
9 = side length
Therefore, the side length of the cube is 9 cm (Option C).
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The total surface area of a cube is 486 m2. Then what is its side?a)7 cmb)8 cmc)9 cmd)12 cmCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The total surface area of a cube is 486 m2. Then what is its side?a)7 cmb)8 cmc)9 cmd)12 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total surface area of a cube is 486 m2. Then what is its side?a)7 cmb)8 cmc)9 cmd)12 cmCorrect answer is option 'C'. Can you explain this answer?.
The total surface area of a cube is 486 m2. Then what is its side?a)7 cmb)8 cmc)9 cmd)12 cmCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The total surface area of a cube is 486 m2. Then what is its side?a)7 cmb)8 cmc)9 cmd)12 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total surface area of a cube is 486 m2. Then what is its side?a)7 cmb)8 cmc)9 cmd)12 cmCorrect answer is option 'C'. Can you explain this answer?.
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